### 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 |
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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 | |

Publication status | Published - 20 Aug 2007 |

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### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method.** / Chowdhury, M. S H; Hashim, Ishak.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 368, no. 3-4, pp. 305-313. https://doi.org/10.1016/j.physleta.2007.04.020

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TY - JOUR

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

AU - Chowdhury, M. S H

AU - Hashim, Ishak

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 - http://www.scopus.com/inward/record.url?scp=34547659368&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547659368&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2007.04.020

DO - 10.1016/j.physleta.2007.04.020

M3 - Article

AN - SCOPUS:34547659368

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

SN - 0375-9601

IS - 3-4

ER -