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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 computational efficiency.
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Details
1 graduate student of the Guangxi Normal University, Guilin Guangxi 541000, PR. China (e-mail: [email protected])
2 associate professor of the College of Mathematics and Statistics in Guangxi Normal University, Guilin 541006, PR. China (Corresponding author, e-mail: [email protected])