A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations | Zendy

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A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations

Author(s) -

Serdal Pamuk

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/202307

Subject(s) - adomian decomposition method , nonlinear system , homotopy perturbation method , mathematics , homotopy analysis method , perturbation (astronomy) , decomposition method (queueing theory) , differential equation , homotopy , mathematical analysis , physics , discrete mathematics , quantum mechanics , pure mathematics

This paper features a survey of some recent developments in techniques for obtainingapproximate analytical solutions of some nonlinear differential equations arising invarious fields of science and engineering. Adomian's decomposition method is appliedto some nonlinear problems, and some mathematical tools such as He's homotopyperturbation method and variational iteration method are introduced to overcome theshortcomings of Adomian's method. The results of some comparisons of these threemethods appearing in the research literature are given

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