Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems

M. S H Chowdhury, Ishak Hashim, O. Abdulaziz

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. Comparisons of the results obtained by the HAM with that obtained by the ADM and HPM suggest that both the HPM and ADM are special case of the HAM.

Original languageEnglish
Pages (from-to)371-378
Number of pages8
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume14
Issue number2
DOIs
Publication statusPublished - Feb 2009

Fingerprint

Homotopy Analysis Method
Homotopy Perturbation Method
Adomian Decomposition Method
fins
Decomposition
decomposition
perturbation
Temperature Distribution
Heat Flux
Straight
Heat flux
heat flux
Power Law
Temperature distribution
temperature distribution
Dependent
Temperature
temperature

Keywords

  • Fins
  • Homotopy analysis method
  • Homotopy-perturbation method
  • Nonlinear DEs

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems. / Chowdhury, M. S H; Hashim, Ishak; Abdulaziz, O.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 2, 02.2009, p. 371-378.

Research output: Contribution to journalArticle

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