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

Kamel Al-Khaled, M. Naim Anwar

Research output: Contribution to journalArticle

8 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 292-301 10 Applied Mathematical Modelling 31 2 https://doi.org/10.1016/j.apm.2005.11.004 Published - Feb 2007

### Fingerprint

Delta modulation
Initial value problems
Numerical Comparisons
Initial Value Problem
Quintic Spline
Discretization
Numerical Results
Splines
Demonstrate
Decomposition

### Keywords

• Approximate solutions
• Quintic spline
• Second-order initial value problem

### ASJC Scopus subject areas

• Computational Mechanics
• Control and Systems Engineering
• Control and Optimization

### Cite this

Numerical comparison of methods for solving second-order ordinary initial value problems. / Al-Khaled, Kamel; Anwar, M. Naim.

In: Applied Mathematical Modelling, Vol. 31, No. 2, 02.2007, p. 292-301.

Research output: Contribution to journalArticle

Al-Khaled, Kamel ; Anwar, M. Naim. / Numerical comparison of methods for solving second-order ordinary initial value problems. In: Applied Mathematical Modelling. 2007 ; Vol. 31, No. 2. pp. 292-301.
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