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

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 numbe...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2005-12, Vol.171 (2), p.1218-1225
Main Authors: KIYMAZ, Onur, MIRASYEDIOGLU, Seref
Format: Article
Language:English
Subjects:
Adomian decomposition method
Exact sciences and technology
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
Singular initial value problems
Symbolic computation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.01.114