On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations | Zendy

Z. Pashazadeh Atabakan | Zendy; Adem Kılıçman | Zendy; A. Kazemi Nasab | Zendy

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On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations

Author(s) -

Z. Pashazadeh Atabakan,

Adem Kılıçman,

A. Kazemi Nasab

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 - 10.1155/2012/960289

Subject(s) - homotopy analysis method , mathematics , homotopy perturbation method , homotopy , volterra equations , order (exchange) , volterra integral equation , mathematical analysis , integral equation , nonlinear system , pure mathematics , physics , finance , quantum mechanics , economics

A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations. Some examples are given in order to test the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to SHAM results and exact solutions

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