A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations

Kiymaz, O; Mirasyedioglu, E

doi:10.1016/j.amc.2005.01.114

A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations

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Kiymaz O., Mirasyedioglu E.

APPLIED MATHEMATICS AND COMPUTATION, vol.171, no.2, pp.1218-1225, 2005 (SCI-Expanded)

Publication Type: Article / Article
Volume: 171 Issue: 2
Publication Date: 2005
Doi Number: 10.1016/j.amc.2005.01.114
Journal Name: APPLIED MATHEMATICS AND COMPUTATION
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1218-1225
Gazi University Affiliated: No

Abstract

This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The algorithm has been implemented in the computer algebra system Maple to facilitate the application of this method. A number of examples are presented to demonstrate the computation efficiency of the program. (c) 2005 Elsevier Inc. All rights reserved.