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Original Articles

A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

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Pages 875-905 | Received 02 Feb 2018, Accepted 22 Feb 2019, Published online: 03 Apr 2019
 

ABSTRACT

We present the hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems exhibiting overlapping boundary layers. We discretize the time derivative by the backward-Euler method and the spatial derivatives is discretized by the hybrid difference scheme on Shishkin mesh. We have shown that the presented numerical scheme is parameter-uniform convergent of first-order in temporal variable and almost second-order in spatial variable. Numerical experiments supporting the theoretical results are presented.

2010 AMS SUBJECT CLASSIFICATIONS:

Acknowledgments

The authors express their sincere thanks to the referees whose valuable comments helped to improve the presentation.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Maneesh Kumar Singh  http://orcid.org/0000-0003-2623-5441

Srinivasan Natesan  http://orcid.org/0000-0001-7527-1989

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