Journal of Computational and Applied Mathematics2022,Vol.4049.DOI:10.1016/j.cam.2021.113894

A second order accurate method for a parameterized singularly perturbed problem with integral boundary condition

Kudu, Mustafa Amirali, Ilhame Amiraliyev, Gabil M.
Journal of Computational and Applied Mathematics2022,Vol.4049.DOI:10.1016/j.cam.2021.113894

A second order accurate method for a parameterized singularly perturbed problem with integral boundary condition

Kudu, Mustafa 1Amirali, Ilhame 2Amiraliyev, Gabil M.1
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作者信息

  • 1. Erzincan Binali Yildirim Univ
  • 2. Duzce Univ
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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. (C) 2021 Elsevier B.V. All rights reserved.

Key words

Parameterized problem/Singular perturbation/Uniform convergence/Finite difference scheme/Shishkin mesh/Integral boundary condition/DIFFERENTIAL-EQUATIONS/NUMERICAL-SOLUTION/SCHEME

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量30
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