Abstract

In this article, the Parker-Sochacki method is extended to solving boundary values of N-th order differential equations. By recasting the problem as a system of constant coefficient polynomial ordinary differential equation, the coefficients of the power series solution is computed iteratively. The closed form solution is obtained by employing Laplace-Padé series summation as an after-treatment procedure. Application of the new technique to various examples elucidated the accuracy and reliability of the approach.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 29
Issue: 5
Year: 2016

DOI: 10.12732/ijam.v29i5.7

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