Exponential Fitted Operator Method for Singularly Perturbed Convection-Diffusion Type Problems with Nonlocal Boundary Condition

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-03-25 DOI:10.1155/2021/5559486

H. Debela

引用次数: 2

Abstract

This paper presents the study of singularly perturbed differential equations of convection-diffusion type with nonlocal boundary condition. The proposed numerical scheme is a combination of the classical finite difference method for the boundary conditions and exponential fitted operator method for the differential equations at the interior points. Maximum absolute errors and rates of convergence for different values of perturbation parameter and mesh sizes are tabulated for the numerical examples considered. The method is shown to be first-order accuracy independent of the perturbation parameter ε .

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具有非局部边界条件的奇摄动对流扩散型问题的指数拟合算子法

本文研究了具有非局部边界条件的对流扩散型奇摄动微分方程。所提出的数值格式是边界条件的经典有限差分法和内部点微分方程的指数拟合算子法的结合。对于所考虑的数值算例，给出了不同扰动参数值和网格尺寸下的最大绝对误差和收敛速度表。该方法具有一阶精度，与扰动参数ε无关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.