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A new analytical method for system of ODEs
Author(s) -
Aminikhah Hossein,
Biazar Jafar
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20478
Subject(s) - ode , mathematics , homotopy perturbation method , homotopy analysis method , nonlinear system , ordinary differential equation , perturbation (astronomy) , partial differential equation , partial derivative , homotopy , adomian decomposition method , mathematical analysis , differential equation , pure mathematics , physics , quantum mechanics
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