Solution of fractional-order Korteweg-de Vries and Burgers’ equations utilizing local meshless method

[1]  Fuzhang Wang,et al.  Gaussian radial basis functions method for linear and nonlinear convection–diffusion models in physical phenomena , 2021 .

[2]  Hijaz Ahmad,et al.  An extension of optimal auxiliary function method to fractional order high dimensional equations , 2021 .

[3]  M. Abbas,et al.  Mathematical analysis to control the spread of Ebola virus epidemic through voluntary vaccination , 2020, The European Physical Journal Plus.

[4]  Ningyu Li,et al.  Fluid dynamics of a self-propelled biomimetic underwater vehicle with pectoral fins , 2020 .

[5]  P. Thounthong,et al.  Numerical study of integer-order hyperbolic telegraph model arising in physical and related sciences , 2020, The European Physical Journal Plus.

[6]  Tathagata Acharya,et al.  Evaluation of flow characteristics in an onshore horizontal separator using computational fluid dynamics , 2020 .

[7]  M. Ghofrani,et al.  New turbulence modeling for air/water stratified flow , 2020 .

[8]  Ziyuan Liu,et al.  Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation , 2020, Appl. Math. Comput..

[9]  J. F. Gómez‐Aguilar,et al.  On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger’s equations using homotopy analysis transform method , 2020 .

[10]  Dongfang Li,et al.  Exact solutions and numerical study of time fractional Burgers' equations , 2020, Appl. Math. Lett..

[11]  Wali Khan Mashwani,et al.  Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations , 2020 .

[12]  Hijaz Ahmad,et al.  Application of local meshless method for the solution of two term time fractional-order multi-dimensional PDE arising in heat and mass transfer , 2020, Thermal Science.

[13]  Xuan Zheng,et al.  An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations , 2019, Math. Comput. Simul..

[14]  Fuzhang Wang,et al.  Optimality of the Boundary Knot Method for Numerical Solutions of 2D Helmholtz-Type Equations , 2019, Wuhan University Journal of Natural Sciences.

[15]  Imtiaz Ahmad,et al.  Numerical Simulation of PDEs by Local Meshless Differential Quadrature Collocation Method , 2019, Symmetry.

[16]  Poom Kumam,et al.  An Efficient Local Formulation for Time–Dependent PDEs , 2019, Mathematics.

[17]  Asıf Yokuş,et al.  Comparison of Caputo and conformable derivatives for time-fractional Korteweg–de Vries equation via the finite difference method , 2018, International Journal of Modern Physics B.

[18]  Jiasong Wang,et al.  Efficient three-dimensional high-resolution simulations of flow fields around cylinders , 2018, Journal of Ocean Engineering and Science.

[19]  Chein-Shan Liu,et al.  Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation , 2018, Appl. Math. Lett..

[20]  Asıf Yokuş,et al.  Numerical solution for space and time fractional order Burger type equation , 2017, Alexandria Engineering Journal.

[21]  Imtiaz Ahmad,et al.  Local RBF method for multi-dimensional partial differential equations , 2017, Comput. Math. Appl..

[22]  D. Das.  Wave scattering by a horizontal circular cylinder in a three-layer fluid , 2016 .

[23]  K. Zheng,et al.  The method of fundamental solutions for steady-state groundwater flow problems , 2016 .

[24]  Roberto Garra,et al.  Fractional-calculus model for temperature and pressure waves in fluid-saturated porous rocks. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  S. A. El-Wakil,et al.  Time-fractional KdV equation: formulation and solution using variational methods , 2009, 0905.3895.

[26]  Qi Wang.  Homotopy perturbation method for fractional KdV-Burgers equation , 2008 .

[27]  M. Inc..  The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method , 2008 .

[28]  Qi Wang,et al.  Homotopy perturbation method for fractional KdV equation , 2007, Appl. Math. Comput..

[29]  Qi Wang,et al.  Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method , 2006, Appl. Math. Comput..

[30]  M. Caputo.  Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .