Journal
PHYSICS LETTERS A
Volume 365, Issue 5-6, Pages 439-447Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2007.02.002
Keywords
homotopy-perturbation method; Lane-Emden equation; singular IVPs
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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. (c) 2007 Elsevier B.V. All rights reserved.
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