A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations

A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations

In this study, we have compared the performance of the Adomian Decomposition Method (ADM) and the Homotopy Perturbation Method (HPM) for solving nonlinear differential equations. By comparative theoretical analysis of these methods, we show that the ADM is equivalent to the HPM with a specific conve...

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Veröffentlicht in:Journal of applied sciences (Asian Network for Scientific Information) 2012-01, Vol.12 (8), p.793-797
Hauptverfasser: Babolian, E, Vahidi, A R, Azimzadeh, Z
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Differential equations
Equivalence
Nonlinearity
Perturbation methods
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Zusammenfassung:In this study, we have compared the performance of the Adomian Decomposition Method (ADM) and the Homotopy Perturbation Method (HPM) for solving nonlinear differential equations. By comparative theoretical analysis of these methods, we show that the ADM is equivalent to the HPM with a specific convex homotopy for nonlinear differential equations.
ISSN:1812-5654
DOI:10.3923/jas.2012.793.797