UNIFORM NUMERICAL APPROXIMATION FOR PARAMETER DEPENDENT SINGULARLY PERTURBED PROBLEM WITH INTEGRAL BOUNDARY CONDITION

被引：9

作者：

Kudu, Mustafa ^{[1
]}

Amirali, Ilhame ^{[2
]}

Amiraliyev, Gabil M. ^{[1
]}

机构：

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

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

来源：

MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 01期

关键词：

parameterized problem; singular perturbation; uniform convergence; finite difference scheme; Shiskin mesh; integral boundary condition;

D O I：

10.18514/MMN.2018.2455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a parameter-uniform numerical method for a parameterized singularly perturbed ordinary differential equation containing integral boundary condition is studied. Asymptotic estimates on the solution and its derivatives are derived. A numerical algorithm based on upwind finite difference operator and an appropriate piecewise uniform mesh is constructed. Parameter-uniform error estimate for the numerical solution is established. Numerical results are presented, which illustrate the theoretical results.

引用

页码：337 / 353

页数：17

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