A series solution of the fin problem with a temperature-dependent thermal conductivity

In this work, we apply the homotopy analysis method to solve fin problems with temperature-dependent thermal conductivity. The results are compared with the solutions obtained by the Adomian decomposition method (ADM), homotopy perturbation method (HPM) and with the Taylor series expansion method as...

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 14; no. 7; pp. 3007 - 3017
Main Authors Khani, F., Ahmadzadeh Raji, M., Hamedi-Nezhad, S.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2009
Subjects
Algorithms
Approximation
Fin
Heat transfer
Homotopy analysis method
Homotopy perturbation method
Mathematical analysis
Mathematical models
Perturbation methods
Taylor series
Thermal conductivity
44.10. +I
Homotopy analysis method
44.05.+e
02.60.Lj
Thermal conductivity
Homotopy perturbation method
Fin
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Summary:In this work, we apply the homotopy analysis method to solve fin problems with temperature-dependent thermal conductivity. The results are compared with the solutions obtained by the Adomian decomposition method (ADM), homotopy perturbation method (HPM) and with the Taylor series expansion method as well. The results of the comparisons have shown that the ADM and HPM are just an approximation of the present study and the accuracy of the solution obtained by the present study is much better than the latter algorithms.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2008.11.004