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author:

Zhang, Rongpei (Zhang, Rongpei.) [1] | Li, Mingjun (Li, Mingjun.) [2] | Chen, Bo (Chen, Bo.) [3] | Zhang, Liwei (Zhang, Liwei.) [4] (Scholars:张立伟)

Indexed by:

SCIE

Abstract:

In this paper we propose a stable finite difference method to solve the fractional reaction-diffusion systems in a two-dimensional domain. The space discretization is implemented by the weighted shifted Grunwald difference (WSGD) which results in a stiff system of nonlinear ordinary differential equations (ODEs). This system of ordinary differential equations is solved by an efficient compact implicit integration factor (cIIF) method. The stability of the second order cIIF scheme is proved in the discrete L-2-norm. We also prove the second-order convergence of the proposed scheme. Numerical examples are given to demonstrate the accuracy, efficiency, and robustness of the method.

Keyword:

Compact implicit integration factor Fractional reaction diffusion Stability Weighted shifted Grunwald-Letnikov

Community:

  • [ 1 ] [Zhang, Rongpei]Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China
  • [ 2 ] [Zhang, Rongpei]Guangdong Univ Technol, Jieyang Inst Technol, Sch Appl Math, Jieyang 522000, Peoples R China
  • [ 3 ] [Li, Mingjun]Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
  • [ 4 ] [Chen, Bo]Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
  • [ 5 ] [Zhang, Liwei]Fuzhou Univ, Sch Mech Engn & Automat, Fuzhou 350116, Peoples R China

Reprint 's Address:

  • [Li, Mingjun]Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

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Source :

ADVANCES IN DIFFERENCE EQUATIONS

ISSN: 1687-1847

Year: 2021

Issue: 1

Volume: 2021

3 . 7 6 1

JCR@2021

3 . 1 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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