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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.
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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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