Homotopy perturbation transform method for nonlinear equations using He's polynomials

نویسندگان

  • Yasir Khan
  • Qingbiao Wu
چکیده

In this paper, a combined form of the Laplace transform method with the homotopy perturbation method is proposed to solve nonlinear equations. This method is called the homotopy perturbation transform method (HPTM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that the proposed technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method. © 2010 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 61  شماره 

صفحات  -

تاریخ انتشار 2011