Article ID Journal Published Year Pages File Type
1863587 Physics Letters A 2007 9 Pages PDF
Abstract

In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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