A Reliable Analytical Method for Solving Higher-Order Initial Value Problems
Open Access
- 2 December 2013
- journal article
- research article
- Published by Wiley in Discrete Dynamics in Nature and Society
- 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.Keywords
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