期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 55, 期 3-4, 页码 1143-1150出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.09.038
关键词
Homotopy analysis transform method; Laplace decomposition method; Blasius flow equation; Homotopy perturbation transform method
The aim of this article is to introduce a new approximate method, namely homotopy analysis transform method (HATM) which is a combination of homotopy analysis method (HAM) and Laplace decomposition method (LDM) to provide an analytical approximate solution to Blasius flow equations. The proposed scheme finds the solutions of nonlinear problems without any discretization, restrictive assumptions and avoids the rounding-off errors. The proposed technique solves the nonlinear problems without using Adomian polynomials and He's polynomials which can be considered as a clear advantage of this new algorithm over decomposition and the homotopy perturbation transform method (HPTM). A good agreement between the obtained solution and some well-known results has been demonstrated. (C) 2011 Elsevier Ltd. All rights reserved.
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