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

Kamel Al-Khaled; M. Naim Anwar

doi:10.1016/j.apm.2005.11.004

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

Kamel Al-Khaled, M. Naim Anwar

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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 C²-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented.

Original language	English
Pages (from-to)	292-301
Number of pages	10
Journal	Applied Mathematical Modelling
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/j.apm.2005.11.004
Publication status	Published - Feb 2007

Keywords

Adomian decomposition method
Approximate solutions
Quintic spline
Second-order initial value problem

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

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10.1016/j.apm.2005.11.004

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abstract = "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 C2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented.",

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AB - 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 C2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented.

KW - Adomian decomposition method

KW - Approximate solutions

KW - Quintic spline

KW - Second-order initial value problem

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

Abstract

Keywords

ASJC Scopus subject areas

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