Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method | Zendy

Yanqin Liu | Zendy

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Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

Author(s) -

Yanqin Liu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/752869

Subject(s) - mathematics , homotopy analysis method , homotopy perturbation method , nonlinear system , laplace transform , perturbation (astronomy) , poincaré–lindstedt method , convergence (economics) , homotopy , transformation (genetics) , mathematical analysis , fractional calculus , pure mathematics , singular perturbation , biochemistry , chemistry , physics , quantum mechanics , economics , gene , economic growth

A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. Illustrative examples are included to demonstrate the high accuracy and fastconvergence of this new algorithm

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