Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method

M. S.H. Chowdhury; I. Hashim

doi:10.1016/j.physleta.2007.04.020

Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method

M. S.H. Chowdhury
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

77 Scopus citations

Abstract

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 HPM 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 HPM is very effective and simple.

Original language	English
Pages (from-to)	305-313
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	368
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physleta.2007.04.020
State	Published - 20 Aug 2007
Externally published	Yes

Keywords

Homotopy-perturbation method
Time-dependent Emden-Fowler equation
Time-dependent Lane-Emden equation
Wave-type equation

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10.1016/j.physleta.2007.04.020

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title = "Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method",

abstract = "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 HPM 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 HPM is very effective and simple.",

keywords = "Homotopy-perturbation method, Time-dependent Emden-Fowler equation, Time-dependent Lane-Emden equation, Wave-type equation",

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T1 - Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method

AU - Chowdhury, M. S.H.

AU - Hashim, I.

PY - 2007/8/20

Y1 - 2007/8/20

N2 - 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 HPM 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 HPM is very effective and simple.

AB - 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 HPM 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 HPM is very effective and simple.

KW - Homotopy-perturbation method

KW - Time-dependent Emden-Fowler equation

KW - Time-dependent Lane-Emden equation

KW - Wave-type equation

UR - https://www.scopus.com/pages/publications/34547659368

U2 - 10.1016/j.physleta.2007.04.020

DO - 10.1016/j.physleta.2007.04.020

M3 - Article

AN - SCOPUS:34547659368

SN - 0375-9601

VL - 368

SP - 305

EP - 313

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method

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Keywords

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