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Zbl 1197.65078
Aminikhah, Hossein; Biazar, Jafar
A new analytical method for system of ODEs. (English)
[J] Numer. Methods Partial Differ. Equations 26, No. 5, 1115-1124 (2010). ISSN 0749-159X; ISSN 1098-2426/e

Summary: A new homotopy perturbation method (NHPM) is introduced to obtain exact solutions of system of ordinary differential equations (ODEs). Theoretical considerations are discussed. Comparison of the results of applying NHPM with those of the 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.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: stiff system; homotopy perturbation method; Adomia's decomposition method

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