A Fourth-order Compact Finite Difference Scheme for Nonlinear Reaction-diffusion Systems
Abstract
This work focuses on integrating a fourth-order compact finite difference scheme (CDS) with a fourth order exponential time differencing Runge-Kutta method and dimensional splitting (ETDRK4P22-IF), termed the CDS ETDRK4P22-IF method, for solving nonlinear reaction diffusion equations (RDEs). The proposed approach employs the ETDRK4P22-IF scheme for temporal discretization following spatial discretization via CDS, resulting in a fully discrete model. Numerical experiments demonstrate that this method achieves both high convergence rates and enhanced computa tional efficiency.
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Published
2025-09-01
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How to Cite
A Fourth-order Compact Finite Difference Scheme for Nonlinear Reaction-diffusion Systems. (2025). IAENG International Journal of Applied Mathematics, 55(9), 2937-2941. https://ijesworld.com/index.php/IEANG/article/view/86