Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional

被引：17
|
作者：
Abdelkawy, M. A. [1 ,2 ]
Alyami, S. A. [1 ]
机构：
[1] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math & Stat, Riyadh, Saudi Arabia
[2] Beni Suef Univ, Fac Sci, Dept Math & Comp Sci, Bani Suwayf, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 151卷
关键词：
Collocation method; Shifted Legendre-Gauss-Lobatto quadrature; Shifted Chebyshev Gauss-Radau quadrature; Riesz space-fractional Derivative; COMPACT ADI SCHEME; CONVERGENCE ANALYSIS; NUMERICAL-SOLUTION; GAUSS-COLLOCATION; APPROXIMATION; SIMULATIONS; DIFFERENCE; ALGORITHM; TRANSPORT;
D O I：
10.1016/j.chaos.2021.111279
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A high accurate spectral algorithm for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional (RF-TNRDEs) is consider. We propose a shifted Legendre Gauss-Lobatto collocation (SL GL-C) method in conjunction with shifted Chebyshev Gauss-Radau collocation (SC-GR-C) method to solve the RF-TNRDEs. A complete theoretical formulation is presented and numerical examples are given to illustrate the performance and efficiency of the algorithm. The superiority of the scheme to tackle RFTNRDEs is revealed. (c) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] A CRANK-NICOLSON ADI SPECTRAL METHOD FOR A TWO-DIMENSIONAL RIESZ SPACE FRACTIONAL NONLINEAR REACTION-DIFFUSION EQUATION
    Zeng, Fanhai
    Liu, Fawang
    Li, Changpin
    Burrage, Kevin
    Turner, Ian
    Anh, V.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2014, 52 (06) : 2599 - 2622
  • [2] A linearized spectral collocation method for Riesz space fractional nonlinear reaction-diffusion equations
    Almushaira, Mustafa
    COMPUTATIONAL AND MATHEMATICAL METHODS, 2021, 3 (05)
  • [3] Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation
    Jian, Huan-Yan
    Huang, Ting-Zhu
    Gu, Xian-Ming
    Zhao, Yong-Liang
    APPLIED NUMERICAL MATHEMATICS, 2020, 156 : 346 - 363
  • [4] Muntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation
    Hou, Dianming
    Azaiez, Mejdi
    Xu, Chuanju
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 26 (05) : 1415 - 1443
  • [5] A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation
    Bhrawy, A. H.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equation
    Hu, Dongdong
    Cao, Xuenian
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (09) : 1928 - 1948
  • [7] NONSTANDARD FINITE DIFFERENCE METHOD FOR NONLINEAR RIESZ SPACE FRACTIONAL REACTION-DIFFUSION EQUATION
    Cai, Li
    Guo, Meifang
    Li, Yiqiang
    Ying, Wenjun
    Gao, Hao
    Luo, Xiaoyu
    INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 16 (06) : 925 - 938
  • [8] A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
    Cheng, Xiujun
    Duan, Jinqiao
    Li, Dongfang
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 : 452 - 464
  • [9] Linearized Crank-Nicolson Scheme for the Two-Dimensional Nonlinear Riesz Space-Fractional Convection-Diffusion Equation
    Basha, Merfat
    Anley, Eyaya Fekadie
    Dai, Binxiang
    FRACTAL AND FRACTIONAL, 2023, 7 (03)
  • [10] Numerical solution of two-dimensional nonlinear Riesz space-fractional reaction-advection-diffusion equation using fast compact implicit integration factor method
    Biswas, Chetna
    Das, Subir
    Singh, Anup
    Sadowski, Tomasz
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2023, 103 (09):
12345