Journal
PHYSICS LETTERS A
Volume 368, Issue 3-4, Pages 305-313Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2007.04.020
Keywords
homotopy-perturbation method; time-dependent emden-fowler equation; time-dependent lane-emden equation; wave-type equation
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In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden-Fowler type equations. We also present a reliable new algorithm based on HIM to overcome the difficulty of the singular point at x = 0. The analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that RPM is very effective and simple. (c) 2007 Elsevier B.V. All rights reserved.
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