A new numerical approach for a singularly perturbed problem with two integral boundary conditions

被引：10

作者：

Cakir, Musa ^{[1
]}

Arslan, Derya ^{[2
]}

机构：

[1] Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkey

[2] Bitlis Eren Univ, Dept Math, TR-13200 Bitlis, Turkey

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 06期

关键词：

Singular perturbation equation; Finite difference scheme; Piecewise uniform mesh; Uniform convergence; Integral conditions; DIFFERENTIAL-EQUATIONS; DIFFUSION TYPE; EXISTENCE; UNIQUENESS; THEOREMS; SCHEME;

D O I：

10.1007/s40314-021-01577-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, finite difference method on a Shishkin mesh is applied to solve the singularly perturbed problem with integral boundary conditions. Some properties of the exact solution are obtained. Finite difference scheme on this mesh is constructed. The stability and convergence analysis of the method are shown as first-order convergent at the discrete maximum norm, regardless of the perturbation parameter e. Numerical results are shown by solving an example on the table and figure.

引用

页数：17

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