A Uniform Discretization for Solving Singularly Perturbed Convection-Diffusion Boundary Value Problems
No Thumbnail Available
Date
2022
Authors
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