具有不连续源项的奇异扰动反应扩散型积分微分方程系统的计算方法

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2024-08-24 DOI:10.1007/s10092-024-00609-w

Ajay Singh Rathore, Vembu Shanthi

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引用次数: 0

摘要

本文对带有不连续源项的二阶奇异扰动反应-扩散型积分微分方程系统进行了定性和定量研究。为了获得问题的数值解，采用了一种可应用于 Shishkin 网格的指数拟合方法。该方法显示了关于扰动参数的均匀收敛性，并给出了必要的示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A computational method for singularly perturbed reaction–diffusion type system of integro-differential equations with discontinuous source term

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A computational method for singularly perturbed reaction–diffusion type system of integro-differential equations with discontinuous source term

This paper provides a qualitative and quantitative study of a second-order Singularly Perturbed Reaction–Diffusion type System of Integro-differential equations with discontinuous source term. To obtain the numerical solution of the problem, an exponentially-fitted method that can be applied to a Shishkin mesh. This method shows that uniform convergence with respect to the perturbation parameter and necessary examples are given.

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来源期刊

Calcolo 数学-数学

CiteScore

2.40

自引率

11.80%

发文量

审稿时长

>12 weeks

期刊介绍： Calcolo is a quarterly of the Italian National Research Council, under the direction of the Institute for Informatics and Telematics in Pisa. Calcolo publishes original contributions in English on Numerical Analysis and its Applications, and on the Theory of Computation. The main focus of the journal is on Numerical Linear Algebra, Approximation Theory and its Applications, Numerical Solution of Differential and Integral Equations, Computational Complexity, Algorithmics, Mathematical Aspects of Computer Science, Optimization Theory. Expository papers will also appear from time to time as an introduction to emerging topics in one of the above mentioned fields. There will be a "Report" section, with abstracts of PhD Theses, news and reports from conferences and book reviews. All submissions will be carefully refereed.