A Reliable Analytical Method for Solving Higher-Order Initial Value Problems

Omar Abu Arqub, Zaer Abo-Hammour, Ramzi Al-Badarneh and Shaher Momani

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-12

Abstract:

In this article, a new analytical method has been devised to solve higher-order initial value problems for ordinary differential equations. This method was implemented to construct a series solution for higher-order initial value problems in the form of a rapidly convergent series with easily computable components using symbolic computation software. The proposed method is based on the Taylor series expansion which constructs an analytical solution in the form of a polynomial and reproduces the exact solution when the solution is polynomial. This technique is applied to a few test examples to illustrate the accuracy, efficiency, and applicability of the method. The results reveal that the method is very effective, straightforward, and simple.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:673829

DOI: 10.1155/2013/673829

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