Approximate analytical solution of singularly perturbed boundary value problems in MAPLE

In this paper, based on a new initial value method, an approximate analytical solution of singularly perturbed boundary value problems is obtained using a new and simple Maple program spivp. The algorithm is designed for practicing engineers or applied mathematicians who need a practical tool for so...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 3; pp. 2272 - 2284
Main Author R. El-Zahar, Essam
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
initial-value algorithms
mechanization
singularly perturbed boundary value problems
Online AccessGet full text

Cover

More Information
Summary:In this paper, based on a new initial value method, an approximate analytical solution of singularly perturbed boundary value problems is obtained using a new and simple Maple program spivp. The algorithm is designed for practicing engineers or applied mathematicians who need a practical tool for solving these problems. Some examples are solved to illustrate the implementation of the program and the accuracy of the algorithm. Analytical and numerical results are compared with results in literature. The results confirm that the present method is accurate and offers a simple and easy practical tool for obtaining approximate analytical and numerical solutions of singularly perturbed boundary value problems.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020150