A new analytical method for system of ODEs |
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| Authors: | Hossein Aminikhah Jafar Biazar |
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| Institution: | 1. Department of Mathematics, School of Mathematical Sciences, Shahrood University of Technology, P.C. 3619995161, Shahrood, Iran;2. Department of Mathematics, Faculty of Sciences, University of Guilan, P.C. 41938, Rasht, Iran |
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| Abstract: | In this article, a new homotopy perturbation method (NHPM) is introduced to obtain exact solutions of system of ODEs. Theoretical considerations are discussed. Comparison of the results of applying NHPM with those of homotopy perturbation method (HPM) and Adomia's decomposition method (ADM) leads to significant consequences. Three examples, including stiff system of linear and nonlinear ODEs are given to demonstrate the efficiency of the new method. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 |
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| Keywords: | NHPM stiff system system of ODEs |
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