4.7 Article

Application of He's methods to nonlinear chemistry problems

期刊

COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 54, 期 7-8, 页码 1122-1132

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2006.12.078

关键词

variational iteration method (VIM); homotopy perturbation method (HPM); Adomian decomposition method (ADM); kinetic problems

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In this paper, He's variational iteration method (VIM) and homotopy perturbation method (HPM) are implemented for solving analytically two systems of ordinary differential equations that often appear in chemical applications. In both methods, the initial approximations can be freely chosen with possible unknown constants which can be determined by imposing the boundary and initial conditions. The solution procedure is of utter simplicity, and the obtained solution is of high accuracy. (C) 2007 Elsevier Ltd. All rights reserved.

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