Numerical comparison of methods for solving second-order ordinary initial value problems |
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| Authors: | Kamel Al-Khaled M Naim Anwar |
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| Institution: | 1. Department of Mathematics, Jordan University of Science and Technology, IRBID 22110, Jordan;2. Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 17551 Al-Ain, United Arab Emirates |
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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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| Keywords: | Quintic spline Adomian decomposition method Approximate solutions Second-order initial value problem |
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