Numerical comparison of methods for solving second-order ordinary initial value problems

In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM...

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Bibliographic Details
Published in:Applied mathematical modelling Vol. 31; no. 2; pp. 292 - 301
Main Authors: Al-Khaled, Kamel, Anwar, M. Naim
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 01.02.2007
Elsevier Science
Subjects:
Adomian decomposition method
Approximate solutions
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Ordinary and partial differential equations, boundary value problems
Physics
Quintic spline
Second-order initial value problem
Quintic spline
Adomian decomposition method
Approximate solutions
Second-order initial value problem
Adomian polynomial
Modelling
Initial value problems
Fast algorithm
Spline approximation
ISSN:0307-904X
Online Access:Get full text
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Summary:In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM and the results obtained are compared with previously known results using the Quintic C 2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented.
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ISSN:0307-904X
DOI:10.1016/j.apm.2005.11.004