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A Uniform Discretization for Solving Singularly Perturbed Convection-Diffusion Boundary Value Problems

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Date

2022

Journal Title

Journal ISSN

Volume Title

Publisher

Georgian Natl Acad Sciences

Abstract

In this paper, a discrete scheme is presented for solving singularly perturbed convection-diffusion equations. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Error estimates are carried out for both Bakhvalov (B-mesh) and Shishkin-type (S-mesh) meshes. Three numerical examples are solved to authenticate the theoretical findings.

Description

Keywords

Bakhvalov Mesh, Boundary Value Problem, Convection-Diffusion Equation, Difference Scheme, Error Estimate, Shishkin Mesh, Singular Perturbation

Turkish CoHE Thesis Center URL

WoS Q

N/A

Scopus Q

Q4

Source

Memoirs on Differential Equations and Mathematical Physics

Volume

86

Issue

Start Page

69

End Page

84