Numerical approximations for space-time fractional Burgers' equations via a new semi-analytical method
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[1] Saudi Arabia,et al. NEW NUMERICAL APPROXIMATIONS FOR SPACE-TIME FRACTIONAL BURGERS' EQUATIONS VIA A LEGENDRE SPECTRAL-COLLOCATION METHOD , 2014 .
[2] Aydin Seçer,et al. The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers’ Equations with Time-Fractional Derivative , 2019, Mathematics.
[3] Wen Chen,et al. Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations , 2019, Comput. Math. Appl..
[4] Dumitru Baleanu,et al. Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves , 2016 .
[5] HongGuang Sun,et al. Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions , 2020, Int. J. Comput. Math..
[6] J. F. Gómez‐Aguilar,et al. A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment , 2020 .
[7] F. Safari. The solution of the Schrödinger equation for Makarov potential and homogeneous manifold $$SL (2, {\mathbb {C}})/GL (1, {\mathbb {C}})$$ , 2020 .
[8] M. Jleli,et al. A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods , 2020, Numerical Methods for Partial Differential Equations.
[9] Wen Chen,et al. Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation , 2015 .
[10] Zhuo-Jia Fu,et al. A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations , 2019, Engineering Analysis with Boundary Elements.
[11] Wen Chen,et al. A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains , 2018, Engineering Analysis with Boundary Elements.
[12] Komal Singla,et al. On invariant analysis of some time fractional nonlinear systems of partial differential equations. I , 2016 .
[13] A. Bulcão,et al. Solving Helmholtz problems with the boundary element method using direct radial basis function interpolation , 2015 .
[14] Sunil Kumar,et al. A new analytical modelling for fractional telegraph equation via Laplace transform , 2014 .
[15] Hongguang Sun,et al. Improved singular boundary method and dual reciprocity method for fractional derivative Rayleigh–Stokes problem , 2020, Engineering with Computers.
[16] B. Samet,et al. A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials , 2020, Numerical Methods for Partial Differential Equations.
[17] Sergiy Y. Reutskiy,et al. A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems , 2020, Appl. Math. Comput..
[18] B. Samet,et al. A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force , 2020, Mathematical Methods in the Applied Sciences.
[19] Jun Lu,et al. A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media , 2018, Appl. Math. Comput..
[20] YangQuan Chen,et al. A new collection of real world applications of fractional calculus in science and engineering , 2018, Commun. Nonlinear Sci. Numer. Simul..
[21] B. Samet,et al. A study on fractional host–parasitoid population dynamical model to describe insect species , 2020, Numerical Methods for Partial Differential Equations.
[22] Sergiy Yu. Reutskiy,et al. A method of particular solutions for multi-point boundary value problems , 2014, Appl. Math. Comput..
[23] F. Safari,et al. Backward substitution method based on Müntz polynomials for solving the nonlinear space fractional partial differential equations , 2019, Mathematical Methods in the Applied Sciences.
[24] H. Eltayeb,et al. A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method , 2020 .
[25] H. Jafari,et al. Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c) , 2019 .
[26] S. Reutskiy,et al. A semi‐analytic collocation technique for steady‐state strongly nonlinear advection‐diffusion‐reaction equations with variable coefficients , 2017 .
[27] Sunil Kumar,et al. Similarities in a fifth-order evolution equation with and with no singular kernel , 2020 .
[28] Ji Ma,et al. A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains , 2019, Appl. Math. Lett..
[29] Sayan Kaennakham,et al. Numerical Solution to Coupled Burgers' Equations by Gaussian-Based Hermite Collocation Scheme , 2018, J. Appl. Math..
[30] F. Safari. Generalized Uncertainty Principle in Cosmology with Supersymmetry Quantum Mechanics , 2020 .
[31] Behzad Ghanbari,et al. A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative , 2020 .
[32] Ji Lin,et al. A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients , 2021, Appl. Math. Lett..
[33] B. Samet,et al. Chaotic behaviour of fractional predator-prey dynamical system , 2020 .
[34] Hijaz Ahmad,et al. Numerical Solutions of Coupled Burgers′ Equations , 2019, Axioms.
[35] S. Abbasbandy,et al. Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method , 2019, Engineering Analysis with Boundary Elements.
[36] Yi Xu,et al. Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme , 2020, Appl. Math. Lett..
[37] Mohammad Mehdi Rashidi,et al. New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM , 2009, Comput. Phys. Commun..
[38] M. Bahgat,et al. Analytical approaches to space- and time-fractional coupled Burgers’ equations , 2019, Pramana.
[39] Manoj Kumar,et al. Numerical method for solving fractional coupled Burgers equations , 2015, Appl. Math. Comput..
[40] The Coupling of RBF and FDM for Solving Higher Order Fractional Partial Differential Equations , 2014 .
[41] Wen Chen,et al. Radial basis functions and FDM for solving fractional diffusion-wave equation , 2014 .
[42] R. Agarwal,et al. A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods , 2020, Mathematical Methods in the Applied Sciences.
[43] Wen Chen,et al. Numerical solution of fractional telegraph equation by using radial basis functions , 2014 .
[44] D. Baleanu,et al. Stability of Dirac Equation in Four-Dimensional Gravity , 2017 .
[45] Devendra Kumar,et al. Analytic study for fractional coupled Burger’s equations via Sumudu transform method , 2018, Nonlinear Engineering.
[46] H. Jafari,et al. THE SOLUTIONS OF PAULI EQUATION IN DE SITTER SPACE BACKGROUND AND HOMOGENEOUS MANIFOLD SU ( 2 ) / U ( 1 ) , 2016 .
[47] Vahid Reza Hosseini,et al. Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping , 2016, J. Comput. Phys..
[48] B. Samet,et al. An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator , 2020, Mathematical Methods in the Applied Sciences.