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

被引：4

作者：

Kudu, Mustafa ^{[1
]}

Amirali, Ilhame ^{[2
]}

Amiraliyev, Gabil M. ^{[1
]}

机构：

[1] Erzincan Binali Yildirim Univ, Fac Arts & Sci, Dept Math, TR-24100 Erzincan, Turkey

[2] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 404卷

关键词：

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

D O I：

10.1016/j.cam.2021.113894

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：9

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