解决奇异扰动两点边界值问题的数值技术

IF 2.6 3区数学 Computational and Applied Mathematics Pub Date : 2024-08-11 DOI:10.1007/s40314-024-02880-7

Pramod Chakravarthy Podila, Rahul Mishra, Higinio Ramos

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引用次数: 0

摘要

在本文中，我们首先将二阶奇异扰动边界值问题（SPBVP）转换为一对初值问题，然后使用指数时差（ETD）Runge-Kutta 方法求解这对问题。对所提方案进行了稳定性分析。还解决了一些线性和非线性问题，以研究拟议方法的适用性。

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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A numerical technique for solving singularly perturbed two-point boundary value problems

In this article, we first convert a second order singularly perturbed boundary value problem (SPBVP) into a pair of initial value problems, which are solved later using exponential time differencing (ETD) Runge–Kutta methods. The stability analysis of the proposed scheme is addressed. Some linear and non-linear problems have been solved to study the applicability of the proposed method.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.