A second order accurate method for a parameterized singularly perturbed problem with integral boundary condition
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Date
2022
Authors
Journal Title
Journal ISSN
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Publisher
Elsevier B.V.
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, we consider a class of parameterized singularly perturbed problems with integral boundary condition. A finite difference scheme of hybrid type with an appropriate Shishkin mesh is suggested to solve the problem. We prove that the method is of almost second order convergent in the discrete maximum norm. Numerical results are presented, which illustrate the theoretical results. © 2021 Elsevier B.V.
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Keywords
Finite difference scheme, Integral boundary condition, Parameterized problem, Shishkin mesh, Singular perturbation, Uniform convergence
Journal or Series
Journal of Computational and Applied Mathematics
WoS Q Value
Q1
Scopus Q Value
Q2
Volume
404
