Journal
PHYSICS LETTERS A
Volume 372, Issue 1, Pages 33-38Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2007.07.002
Keywords
convection heat transfer; nonlinear equations; homotopy perturbation method (HPM); numerical method (NM)
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In this Letter, the problem of forced convection over a horizontal flat plate is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide-range applications of the homotopy perturbation method in comparison with the previous ones in solving heat transfer problems. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations. (c) 2007 Elsevier B.V. All rights reserved.
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