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

被引：0

作者：

Podila, Pramod Chakravarthy ^{[1
]}

Mishra, Rahul ^{[1
]}

Ramos, Higinio ^{[2
]}

机构：

[1] Visvesvaraya Natl Inst Technol, Nagpur, India

[2] Univ Salamanca, Salamanca, Spain

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 06期

关键词：

Singularly perturbed problem; Exponential time differencing; Integrating factor; Stability; Boundary layer; FINITE-DIFFERENCE METHOD; INITIAL-VALUE TECHNIQUE;

D O I：

10.1007/s40314-024-02880-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：18

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