Numerical solution of 2D singularly perturbed reaction�diffusion system with multiple scales

Singh, MK and Natesan, S (2020) Numerical solution of 2D singularly perturbed reaction�diffusion system with multiple scales. In: Computers and Mathematics with Applications, 80 (4). pp. 36-53.

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Abstract

In this article, a robust numerical method is studied to approximate singularly perturbed system of reaction�diffusion problems with multiple scales. The analytical properties of the exact solution have been studied. The numerical method consists of the classical central difference scheme on a Shishkin mesh for spatial semidiscretization processes and the implicit-Euler scheme on a uniform time stepping for temporal derivative. The error estimate is deduced, which exhibits that the numerical approximation is uniformly convergent of almost second-order in spatial variable and first-order in temporal variable. Numerical experiments are given which reveals the effectiveness of the proposed scheme. © 2020 Elsevier Ltd

Item Type:	Journal Article
Publication:	Computers and Mathematics with Applications
Publisher:	Elsevier Ltd
Additional Information:	Copy right for this article belongs to Elsevier Ltd
Keywords:	Algorithms; Mathematical models, Analytical properties; Central difference scheme; Numerical approximations; Numerical experiments; Singularly perturbed; Singularly perturbed systems; Temporal derivatives; Uniformly convergent, Numerical methods
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	07 Jan 2021 09:56
Last Modified:	07 Jan 2021 09:56
URI:	http://eprints.iisc.ac.in/id/eprint/65472

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