Fawang Liu

发表

Some second-order 𝜃 schemes combined with finite element method for nonlinear fractional cable equation

Yang Liu, Yanwei Du, Hong Li, 2018, Numerical Algorithms.

Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains

Fawang Liu, Shanlin Qin, Ian W. Turner, 2018, Comput. Math. Appl..

A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions

Fawang Liu, Rumeng Zheng, Xiaoyun Jiang, 2020, Appl. Math. Lett..

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2008, SIAM J. Numer. Anal..

A RBF meshless approach for modeling a fractal mobile/immobile transport model

Fawang Liu, Qing Huo Liu, Ian Turner, 2014, Appl. Math. Comput..

Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions

Fawang Liu, Ian W. Turner, Qianqian Yang, 2011, SIAM J. Sci. Comput..

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

Fawang Liu, Changpin Li, Ian W. Turner, 2013, SIAM J. Sci. Comput..

A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

Fawang Liu, Hui Zhang, Ian W. Turner, 2018, Comput. Math. Appl..

Fully discrete spectral methods for solving time fractional nonlinear Sine-Gordon equation with smooth and non-smooth solutions

Fawang Liu, Shujuan Lü, Zeting Liu, 2018, Appl. Math. Comput..

Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux

Fawang Liu, Lin Liu, Xinxin Zhang, 2016, Commun. Nonlinear Sci. Numer. Simul..

A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation

Fawang Liu, Lang Li, Libo Feng, 2020, J. Comput. Appl. Math..

Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes

Fawang Liu, Z. G. Shi, Y. M. Zhao, 2018, Appl. Math. Comput..

Finite element method for space-time fractional diffusion equation

Fawang Liu, Libo Feng, P. Zhuang, 2015, Numerical Algorithms.

Human Action Recognition Using Manifold Learning and Hidden Conditional Random Fields

Yunde Jia, Fawang Liu, Yunde Jia, 2008, 2008 The 9th International Conference for Young Computer Scientists.

A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker-Planck Equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2015, SIAM J. Sci. Comput..

Lie group analysis and similarity solution for fractional Blasius flow

Fawang Liu, Xinxin Zhang, Mingyang Pan, 2016, Commun. Nonlinear Sci. Numer. Simul..

Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium

Fawang Liu, Chunyan Liu, Mingyang Pan, 2019, Comput. Math. Appl..

Differential quadrature method for space-fractional diffusion equations on 2D irregular domains

Fawang Liu, Yufeng Nie, X. G. Zhu, 2017, Numerical Algorithms.

Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2010, SIAM J. Sci. Comput..

Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation

Fawang Liu, Y. Chen, Vo V. Anh, 2013, Numerical Algorithms.

High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation

Fawang Liu, Ian W. Turner, X. Jiang, 2015, J. Comput. Appl. Math..

Numerical simulation of a Finite Moment Log Stable model for a European call option

Fawang Liu, Ian W. Turner, Qianqian Yang, 2017, Numerical Algorithms.

Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method

Fawang Liu, Vo V. Anh, Ian W. Turner, 2007, J. Comput. Phys..

A Fourier method for the fractional diffusion equation describing sub-diffusion

Fawang Liu, Vo V. Anh, Ian W. Turner, 2007, J. Comput. Phys..

Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation

Fawang Liu, Yanping Chen, Lin Liu, 2018, Comput. Math. Appl..

A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions

Fawang Liu, Ruige Chen, Vo Anh, 2019, Comput. Math. Appl..

Advances in fractional differential equations (IV): Time-fractional PDEs

José António Tenreiro Machado, Fawang Liu, Michal Feckan, 2017, Comput. Math. Appl..

High-order numerical methods for the Riesz space fractional advection-dispersion equations pdf

Fawang Liu, Libo Feng, Ian Turner, 2016, ArXiv.

Numerical simulation of anomalous infiltration in porous media

Fawang Liu, Vo V. Anh, Q. Liu, 2014, Numerical Algorithms.

Numerical techniques for the variable order time fractional diffusion equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2012, Appl. Math. Comput..

Human action recognition from silhouettes using manifold learning and MDA

Fawang Liu, Hongbin Deng, 2011, Int. J. Model. Identif. Control..

Vision-Based 3D Articulated Pose Tracking Using Particle Filtering and Model Constraints

Fawang Liu, Gangyi Ding, Yihua Xu, 2007, 2007 Third International IEEE Conference on Signal-Image Technologies and Internet-Based System.

Multi-term time-fractional Bloch equations and application in magnetic resonance imaging

Fawang Liu, Viktor Vegh, Shanlin Qin, 2017, J. Comput. Appl. Math..

A new time and spatial fractional heat conduction model for Maxwell nanofluid in porous medium

Fawang Liu, Mengchen Zhang, Hongmei Zhang, 2019, Comput. Math. Appl..

Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications

Fawang Liu, Vo V. Anh, Ruige Chen, 2019, J. Comput. Appl. Math..

Numerical approximations and solution techniques for the space-time Riesz–Caputo fractional advection-diffusion equation

Fawang Liu, Vo V. Anh, Shujun Shen, 2011, Numerical Algorithms.

Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations

Fawang Liu, Vo V. Anh, Ian W. Turner, 2017, Comput. Math. Appl..

Joint time-frequency-power resource allocation for low-medium-altitude platforms-based WiMAX networks

Fawang Liu, L. Cong, L. Zhao, 2011, IET Commun..

The analytical solution and numerical solution of the fractional diffusion-wave equation with damping

Fawang Liu, Vo V. Anh, Q. Liu, 2012, Appl. Math. Comput..

Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations

Fawang Liu, Y. Zhang, Ian W. Turner, 2016, Appl. Math. Lett..

A novel finite element method for the distributed-order time fractional Cable equation in two dimensions

Fawang Liu, Yang Liu, Hong Li, 2020, Comput. Math. Appl..

A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain

Fawang Liu, Xiaoyun Jiang, Ian Turner, 2017 .

Numerical analysis for a variable-order nonlinear cable equation

Fawang Liu, Kevin Burrage, Chang-Ming Chen, 2011, J. Comput. Appl. Math..

A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation

Fawang Liu, Ian W. Turner, Qiang Yu, 2014, Numerical Algorithms.

Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

Fawang Liu, Kevin Burrage, S. Chen, 2014, Comput. Math. Appl..

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

Fawang Liu, Changpin Li, Ian W. Turner, 2015, SIAM J. Sci. Comput..

An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains

Fawang Liu, Ian Turner, Zongze Yang, 2020, J. Comput. Phys..

Novel techniques in parameter estimation for fractional dynamical models arising from biological systems

Fawang Liu, Kevin Burrage, K. Burrage, 2011, Comput. Math. Appl..

Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient

Yan Zhang, Fawang Liu, Yun Bai, 2017, Comput. Math. Appl..

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

Fawang Liu, Ian W. Turner, Kevin Burrage, 2012, Comput. Math. Appl..

Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains

Fawang Liu, Vo V. Anh, H. Ye, 2015, J. Comput. Phys..

A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients

Fawang Liu, Vo V. Anh, Ian W. Turner, 2016, Comput. Math. Appl..

Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains

Fawang Liu, Libo Feng, Ian Turner, 2019, Commun. Nonlinear Sci. Numer. Simul..

An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2015, Numerical Algorithms.

Numerical solution of the time fractional reaction-diffusion equation with a moving boundary

Fawang Liu, Matthew J. Simpson, Kevin Burrage, 2017, J. Comput. Phys..

Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model

Fawang Liu, Xinru Zhang, Weidong Yang, 2019, Appl. Math. Lett..

The global analysis on the spectral collocation method for time fractional Schrödinger equation

Fawang Liu, Zhengmeng Jin, Minling Zheng, 2020, Appl. Math. Comput..

A novel implicit finite difference method for the one-dimensional fractional percolation equation

Fawang Liu, Vo V. Anh, S. Chen, 2011, Numerical Algorithms.

Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation

Fawang Liu, Ian W. Turner, X. Jiang, 2018, J. Comput. Appl. Math..

ICCM2012 – Topical Issue on computational methods, numerical modelling & simulation in Applied Mathematical Modelling

Fawang Liu, YuanTong Gu, Ian Turner, 2014 .

Novel analytical and numerical techniques for fractional temporal SEIR measles model

Fawang Liu, T. Li, Kevin Burrage, 2017, Numerical Algorithms.

Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations

Fawang Liu, Vo V. Anh, Ian W. Turner, 2014, Appl. Math. Comput..

Galerkin finite element approximation of symmetric space-fractional partial differential equations

Fawang Liu, Vo V. Anh, Hongmei Zhang, 2010, Appl. Math. Comput..

A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain

Fawang Liu, Wenping Fan, Fawang Liu, 2018, Appl. Math. Lett..

A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D

Fawang Liu, Ian W. Turner, Qiang Yu, 2012, Appl. Math. Comput..

A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients

Fawang Liu, Vo V. Anh, Ian W. Turner, 2015, Appl. Math. Comput..

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2009, Appl. Math. Comput..

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

Fawang Liu, Vo V. Anh, Ian W. Turner, 2009, SIAM J. Numer. Anal..

An implicit numerical method for the two-dimensional fractional percolation equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2013, Appl. Math. Comput..

Numerical solution of the time fractional Black-Scholes model governing European options

Fawang Liu, Ian W. Turner, Qianqian Yang, 2016, Comput. Math. Appl..

Galerkin finite element method and error analysis for the fractional cable equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2015, Numerical Algorithms.

Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2007, Appl. Math. Comput..

Fast numerical simulation of a new time-space fractional option pricing model governing European call option

Fawang Liu, Vo V. Anh, Hongmei Zhang, 2018, Appl. Math. Comput..

Special Issue: Advances in Fractional Differential Equations (V): Time-Space Fractional PDEs

José António Tenreiro Machado, Fawang Liu, Michal Feckan, 2019, Comput. Math. Appl..

Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term

Fawang Liu, Vo V. Anh, Ian W. Turner, 2011, Appl. Math. Comput..

Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid

Fawang Liu, Vo V. Anh, Ian W. Turner, 2011, Comput. Math. Appl..

Numerical methods and analysis for a class of fractional advection-dispersion models

Fawang Liu, Kevin Burrage, P. Zhuang, 2012, Comput. Math. Appl..

Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation

Fawang Liu, Ian W. Turner, Rumeng Zheng, 2020, Comput. Math. Appl..

Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid

Fawang Liu, Vo V. Anh, Ian W. Turner, 2016, Comput. Math. Appl..

Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model

Fawang Liu, Vo V. Anh, Zeng Lin, 2019, Appl. Math. Comput..

A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

Fawang Liu, Changpin Li, Vo V. Anh, 2014, SIAM J. Numer. Anal..

A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain

Fawang Liu, Vo V. Anh, Ian W. Turner, 2015, J. Comput. Phys..

Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface

Fawang Liu, Botong Li, 2020, Comput. Math. Appl..

A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model

Fawang Liu, Hongmei Zhang, Mark M. Meerschaert, 2013, Comput. Math. Appl..

Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium

Fawang Liu, Vo V. Anh, Ian W. Turner, 2010, Appl. Math. Comput..

A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements

Fawang Liu, Shanlin Qin, Ian Turner, 2018, Commun. Nonlinear Sci. Numer. Simul..

The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain

Fawang Liu, Xiaoyun Jiang, Vo Anh, 2018, J. Sci. Comput..

Comb model for the anomalous diffusion with dual-phase-lag constitutive relation

Fawang Liu, Yu Fan, Yanping Chen, 2018, Commun. Nonlinear Sci. Numer. Simul..

An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains

Fawang Liu, Libo Feng, Ian Turner, 2019, J. Comput. Appl. Math..

Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients

Fawang Liu, Ian W. Turner, Kevin Burrage, 2016, SIAM J. Numer. Anal..

A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient

Fawang Liu, Z. G. Shi, Y. M. Zhao, 2018, Comput. Math. Appl..

Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains

Fawang Liu, Libo Feng, Vo Anh, 2019, Comput. Math. Appl..

Numerical analysis of a new space-time variable fractional order advection-dispersion equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2014, Appl. Math. Comput..

Stability and Convergence of Implicit Numerical Methods for a Class of Fractional Advection-Dispersion Models

Fawang Liu, Kevin Burrage, Pinghui Zhuang, 2011 .

An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation

Fawang Liu, YuanTong Gu, Pinghui Zhuang, 2010 .

Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation

Fawang Liu, Kevin Burrage, Chang-Ming Chen, 2008, Appl. Math. Comput..

Time-fractional diffusion equation for signal smoothing

Fawang Liu, Ian W. Turner, Yuanlu Li, 2018, Appl. Math. Comput..

Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base

Fawang Liu, Vo V. Anh, Ninghu Su, 2003, Environ. Model. Softw..

Numerical simulation of the fractional Bloch equations

Fawang Liu, Ian W. Turner, Qiang Yu, 2014, J. Comput. Appl. Math..

Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation

Fawang Liu, Vo V. Anh, Ian W. Turner, 2010, Numerical Algorithms.

Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

Fawang Liu, Kevin Burrage, S. Chen, 2014, Comput. Math. Appl..

Violence classification based on shape variations from multiple views

Yunde Jia, Fawang Liu, 2008, 2008 19th International Conference on Pattern Recognition.

Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives

Fawang Liu, Vo V. Anh, Chang-Ming Chen, 2008, Appl. Math. Comput..

High accuracy analysis of an -Galerkin mixed finite element method for two-dimensional time fractional diffusion equations

Fawang Liu, Z. G. Shi, Y. M. Zhao, 2017, Comput. Math. Appl..

Numerical methods for the two-dimensional multi-term time-fractional diffusion equations

Fawang Liu, Vo V. Anh, Linlin Zhao, 2017, Comput. Math. Appl..

Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

Fawang Liu, Kevin Burrage, C. Yang, 2009, J. Comput. Appl. Math..

Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness

Fawang Liu, Lin Liu, Fawang Liu, 2018, Appl. Math. Lett..

Stability and convergence of a finite volume method for the space fractional advection-dispersion equation

Fawang Liu, Timothy J. Moroney, H. Hejazi, 2014, J. Comput. Appl. Math..

A stochastic model for thermal transport of nanofluid in porous media: Derivation and applications

Fawang Liu, Ping Lin, Goong Chen, 2017, Comput. Math. Appl..

The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation

Fawang Liu, Vo V. Anh, Shujun Shen, 2019, J. Comput. Appl. Math..

A novel finite volume method for the Riesz space distributed-order diffusion equation

Fawang Liu, Libo Feng, Ian W. Turner, 2017, Comput. Math. Appl..

Design of Sliding Mode Controller for Underactuated Dexterous Hand

Fawang Liu, Feng Zhou, Jichun Zhao, 2013 .

Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation

Fawang Liu, Ian W. Turner, P. Zhuang, 2015, Appl. Math. Comput..

Solution of Moving-boundary Problems in Finite Media by Petrov-Galerkin and Predictor-corrector Techniques

Fawang Liu, Dls McElwain, 1996 .

Radial point interpolation collocation method based approximation for 2D fractional equation models

Fawang Liu, Pinghui Zhuang, Minling Zheng, 2021, Comput. Math. Appl..

Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship

Fawang Liu, Liancun Zheng, Xuehui Chen, 2021, Comput. Math. Appl..

A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients

Fawang Liu, Libo Feng, Ian W. Turner, 2021, J. Comput. Appl. Math..

Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem pdf

Fawang Liu, Vo V. Anh, Libo Feng, 2021, Nonlinear Dynamics.

A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains

Fawang Liu, Vo V. Anh, Libo Feng, 2021, Comput. Math. Appl..

A space-time spectral method for time-fractional Black-Scholes equation

Fawang Liu, Vo V. Anh, Minling Zheng, 2021, Applied Numerical Mathematics.

Matrix Transfer Technique for Anomalous Diffusion Equation Involving Fractional Laplacian

Fawang Liu, Vo Anh, Minling Zheng, 2021, Applied Numerical Mathematics.

A space-time finite element method for solving linear Riesz space fractional partial differential equations

Fawang Liu, Vo V. Anh, Junjiang Lai, 2021, Numer. Algorithms.

Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian

Fawang Liu, Vo V. Anh, Shujuan Lü, 2021, J. Comput. Appl. Math..

Unsteady MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid with Cattaneo heat flux and different particle shapes

Fawang Liu, Fawang Liu, Ming Shen, 2018, Chinese Journal of Physics.

Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation

Fawang Liu, Fawang Liu, J. Chen, 2007 .

Fractional Differential Equations 2012

Fawang Liu, Shaher Momani, Om P. Agrawal, 2013 .

Numerical simulation of the fractional-order control system

Fawang Liu, Xin Cai, Fawang Liu, 2007 .

Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains

Fawang Liu, Vo Anh, Ian Turner, 2015 .

ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation

Fawang Liu, S Chen, 2008 .

Finite Difference Approximation for Two-Dimensional Time Fractional Diffusion Equation

Fawang Liu, Pinghui Zhuang, 2007 .

Unsteady Marangoni convection heat transfer of fractional Maxwell fluid with Cattaneo heat flux

Fawang Liu, Liancun Zheng, Xuehui Chen, 2017 .

Parameter estimation for fractional dynamical models in biological systems

Fawang Liu, Kevin Burrage, 2010 .

An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

Fawang Liu, Fanhai Zeng, Zeting Liu, 2018, Applied Numerical Mathematics.

Analytical and numerical solutions of the space and time fractional bloch-torrey equation

Fawang Liu, Kevin Burrage, Ian Turner, 2011 .

Fractional Differential Equations

Fawang Liu, Shaher Momani, Mark M. Meerschaert, 2010 .

Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equation

Fawang Liu, Kevin Burrage, Ian Turner, 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

A finite volume simulation model for saturated–unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia

Fawang Liu, Vo Anh, Ian Turner, 2006 .

Solving linear and non‐linear space–time fractional reaction–diffusion equations by the Adomian decomposition method

Fawang Liu, Vo Anh, Ian Turner, 2008 .

Numerical methods of fractional partial differential equations and applications

Fawang Liu, Pinghui Zhuang, Qingxia Liu, 2015 .

Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates

Fawang Liu, Lin Liu, Liancun Zheng, 2017 .

A second-order accurate numerical approximation for the Riesz space fractional advection-dispersion equation

Fawang Liu, Vo Anh, Ian Turner, 2012 .

Unsteady Natural Convection Heat Transfer Past a Vertical Flat Plate Embedded in a Porous Medium Saturated With Fractional Oldroyd-B Fluid

Fawang Liu, Liancun Zheng, Xuehui Chen, 2016 .

Stability and Convergence of an Effective Numerical Method for the Time-Space Fractional Fokker-Planck Equation with a Nonlinear Source Term

Fawang Liu, Qianqian Yang, Ian Turner, 2010 .

Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation

Fawang Liu, Vo Anh, Fawang Liu, 2007 .

The space-time fractional diffusion equation with Caputo derivatives

Fawang Liu, Fenghui Huang, 2005 .

Time fractional super-diffusion model and its application in peak-preserving smoothing

Fawang Liu, Min Jiang, Yuanlu Li, 2018 .

Novel numerical analysis of multi-term time fractional viscoelastic non-newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid

Fawang Liu, Libo Feng, Ian Turner, 2017, Fractional Calculus and Applied Analysis.

Heat conduction with fractional Cattaneo–Christov upper-convective derivative flux model

Fawang Liu, Lin Liu, Liancun Zheng, 2017 .

Convection heat and mass transfer of fractional MHD Maxwell fluid in a porous medium with Soret and Dufour effects

Fawang Liu, Liancun Zheng, Jinhu Zhao, 2016 .

Fawang Liu, D. A. Barry, Vo Anh, 2005 .

The fundamental solution of the space-time fractional advection-dispersion equation

Fawang Liu, Fawang Liu, Fenghui Huang, 2005 .

Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2D

Fawang Liu, Kevin Burrage, Ian Turner, 2013 .

Numerical solution of the space fractional Fokker-Planck equation

Fawang Liu, Vo Anh, Ian Turner, 2004 .

A finite volume method for solving the two-sided time-space fractional advection-dispersion equation

Fawang Liu, Timothy J. Moroney, Hala Hejazi, 2012 .

Unsteady natural convection boundary layer heat transfer of fractional Maxwell viscoelastic fluid over a vertical plate

Fawang Liu, Liancun Zheng, Jinhu Zhao, 2016 .

Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation

Fawang Liu, YuanTong Gu, Ian Turner, 2014 .

Numerical simulation for the three-dimension fractional sub-diffusion equation☆

Fawang Liu, Kevin Burrage, Vo Anh, 2014 .

Finite element approximation for a modified anomalous subdiffusion equation

Fawang Liu, Vo Anh, Ian Turner, 2011 .

A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region

Fawang Liu, Vo Anh, Ian Turner, 2018, Applied Numerical Mathematics.

THE FUNDAMENTAL AND NUMERICAL SOLUTIONS OF THE RIESZ SPACE-FRACTIONAL REACTION–DISPERSION EQUATION

Fawang Liu, Vo Anh, Ian Turner, 2008, The ANZIAM Journal.

A Reynolds Uniform Scheme for Singularly Perturbed Parabolic Differential Equation

Fawang Liu, X Cai, 2007 .

A numerical investigation of the time distributed-order diffusion model

Fawang Liu, Vo Anh, Ian Turner, 2014 .

A novel finite volume method for the Riesz space distributed-order advection–diffusion equation

Fawang Liu, Libo Feng, Ian Turner, 2017 .

Numerical treatment for the fractional Fokker-Planck equation

Fawang Liu, Vo Anh, Ian Turner, 2007 .

Series expansion solutions for the multi-term time and space fractional partial differential equations in two- and three-dimensions

Fawang Liu, Kevin Burrage, Vo Anh, 2013 .

Numerical methods for solving the multi-term time-fractional wave-diffusion equations

Fawang Liu, Robert J. McGough, Mark M. Meerschaert, 2012 .

Numerical solution techniques for time-and space-fractional fokker-planck equations

Fawang Liu, Qianqian Yang, Ian Turner, 2008 .

Parameter estimation for a phenomenological model of the cardiac action potential

Fawang Liu, Kevin Burrage, John Walmsley, 2011 .

Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order

Fawang Liu, Vo Anh, Fawang Liu, 2008 .

Time‐dependent fractional advection–diffusion equations by an implicit MLS meshless method

Prasad K. Yarlagadda, Fawang Liu, P. Zhuang, 2011 .

An improved heat conduction model with Riesz fractional Cattaneo-Christov flux

Fawang Liu, Lin Liu, Liancun Zheng, 2016 .

Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation

Fawang Liu, Qianqian Yang, Timothy J. Moroney, 2012 .

An explicit approximation for the space-time fractional diffusion equation

Fawang Liu, Pinghui Zhuang, 2005 .

Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model

Fawang Liu, Kevin Burrage, Vo Anh, 2014, ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014.

Implicit difference approximation of the Galilei invariant fractional advection diffusion equation

Fawang Liu, Vo Anh, Ian Turner, 2007 .

A numerical method for the fractional Fitzhugh–Nagumo monodomain model

Fawang Liu, Qianqian Yang, Kevin Burrage, 2013 .

Numerical Solution of the Fractional-Order Advection-Dispersion Equation

Fawang Liu, Vo Anh, Ian Turner, 2002 .

MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid over a moving plate

Fawang Liu, Liancun Zheng, Jinhu Zhao, 2016 .

The fundamental solution and numerical solution of the Riesz fractional advection–dispersion equation

Fawang Liu, Vo Anh, Ian Turner, 2008 .

Numerical techniques for simulating a fractional mathematical model of epidermal wound healing

Fawang Liu, Kevin Burrage, K. Burrage, 2013 .

Time two-mesh algorithm combined with finite element method for time fractional water wave model

Fawang Liu, Yang Liu, Hong Li, 2018 .

A characteristic difference method for the variable-order fractional advection-diffusion equation

Fawang Liu, Vo Anh, Ian Turner, 2013 .

An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers

Fawang Liu, Vo Anh, Ian Turner, 2002 .

A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging

Fawang Liu, Viktor Vegh, Ian Turner, 2015, PloS one.

Fractional high order methods for the nonlinear fractional ordinary differential equation

Fawang Liu, Fawang Liu, R. Lin, 2007 .

Numerical simulation for solute transport in fractal porous media

Fawang Liu, Vo Anh, Ian Turner, 2004 .

A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations

Fawang Liu, Qianqian Yang, Timothy J. Moroney, 2014 .

Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions

Fawang Liu, Qianqian Yang, Kevin Burrage, 2011 .

Computationally efficient numerical methods for time- and space-fractional Fokker–Planck equations

Fawang Liu, Qianqian Yang, Ian Turner, 2009 .

Condensed phase combustion travelling waves with sequential exothermic or endothermic reactions

Fawang Liu, Colin P. Please, D. L. S. McElwain, 2003 .

Numerical simulation for the 3D seepage flow with fractional derivatives in porous media

Fawang Liu, Vo Anh, Ian Turner, 2008 .

Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term

Fawang Liu, Kevin Burrage, Vo Anh, 2013 .

Novel numerical methods for solving the time-space fractional diffusion equation in 2D

Fawang Liu, Qianqian Yang, Ian Turner, 2011 .

The numerical simulation of the tempered fractional Black–Scholes equation for European double barrier option

Fawang Liu, Ian Turner, I. Turner, 2016 .

Detailed analysis of a conservative difference approximation for the time fractional diffusion equation

Fawang Liu, Vo Anh, Ian Turner, 2006 .

Characterization of anomalous relaxation using the time‐fractional Bloch equation and multiple echo T2*‐weighted magnetic resonance imaging at 7 T

Fawang Liu, Viktor Vegh, Shanlin Qin, 2016, Magnetic resonance in medicine.

Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework

Fawang Liu, Lin Liu, Liancun Zheng, 2017 .

High-order explicit-implicit numerical methods for nonlinear anomalous diffusion equations

Fawang Liu, Changpin Li, Fanhai Zeng, 2013 .

Stability and convergence of an implicit numerical method for the non-linear fractional reaction–subdiffusion process

Fawang Liu, Vo Anh, Ian Turner, 2009 .

Analytical solutions of the multi-term modified power law wave equations in a finite domain

Fawang Liu, Mark M. Meerschaert, H. Jiang, 2012 .

Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2 D Research

Fawang Liu, Kevin Burrage, Ian Turner, .

Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation

Fawang Liu, Qianqian Yang, Ian Turner, 2009 .

Numerical methods and analysis for simulating the flow of a generalized Oldroyd-B fluid between two infinite parallel rigid plates

Fawang Liu, Libo Feng, P. Zhuang, 2017 .

An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach

Fawang Liu, Yufeng Nie, Guiyong Zhang, 2016 .

Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation

Fawang Liu, Ian Turner, I. Turner, 2016 .

A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation

Fawang Liu, Chang-Ming Chen, Chang-Ming Chen, 2009 .

Analytical solution for the time-fractional telegraph equation by the method of separating variables

Fawang Liu, Vo Anh, Fawang Liu, 2008 .

Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations

Fawang Liu, Fawang Liu, Xiao Dong Chen, 2015 .

Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives

Fawang Liu, Q. Liu, 2009 .

Uniform convergence difference schemes for singularly perturbed mixed boundary problems

Fawang Liu, X. Cai, 2004 .

Simulation of combustion waves for two-stage reactions

Fawang Liu, C. P. Please, D.L.S. McElwain, 1998 .