Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms-Reference-Cited by-同舟云学术

Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms

Published:2024-02-08 Issue: Volume: Page:
ISSN:0971-3514
Container-title:Differential Equations and Dynamical Systems
language:en
Short-container-title:Differ Equ Dyn Syst

Author:

Shiromani Ram,Shanthi Vembu,Ramos Higinio^ORCID

Abstract

AbstractIn this paper, we address a two-parameter singularly perturbed convection-reaction-diffusion 2-D problem. We also consider that the convection and source terms are discontinuous in space. Due to these discontinuities and the presence of perturbation parameters, solutions to such problems show boundary and interior layers. In this study, we have carried out a numerical approach using a finite-difference technique with an appropriate layer-adapted piecewise uniform Shishkin mesh. Some examples are presented which show the best performance of the proposed method and its agreement with the theoretical analysis.

Funder

Universidad de Salamanca

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s12591-024-00676-z.pdf

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