Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 14, Issue 7, Pages 3007-3017Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2008.11.004
Keywords
Homotopy analysis method; Homotopy perturbation method; Fin; Thermal conductivity
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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. (C) 2008 Elsevier B.V. All rights reserved.
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