A Novel Numerical Approach for Solving Convection-Diffusion Problem with Boundary Layer Behavior

被引：6

作者：

Cakir, Musa ^{[1
]}

Masiha, R. Younis ^{[1
]}

Arslan, Derya ^{[2
]}

机构：

[1] Univ Van Yuzuncu Yil, Fac Sci, Dept Math, Van, Turkey

[2] Univ Bitlis Eren, Fac Art & Sci, Dept Math, TR-13200 Bitlis, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2020年 / 33卷 / 01期

关键词：

Singular perturbation; Finite difference scheme; Uniform mesh; Uniform convergence; STABILIZATION; EQUATIONS;

D O I：

10.35378/gujs.542897

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This study deals with a new approach method for solving singularly perturbed boundary value problem of convection-diffusion type. Firstly, bounds on the solution and its derivative of solution to be used later in the article are obtained. This robust method is constructed with fitted difference scheme on a uniform mesh. It is proved that the presented method is first-order convergent with respect to the perturbation parameter epsilon in the discrete maximum norm. Two examples are given to illustrate the efficiency of the method. The numerical results are presented in tables and figures.

引用

页码：152 / 166

页数：15

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