The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions | Zendy

Hassan A. Zedan | Zendy; W. Barakati | Zendy; Nada Hamad | Zendy

Open Access

The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions

Author(s) -

Hassan A. Zedan,

W. Barakati,

Nada Hamad

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/326473

Subject(s) - homotopy analysis method , homotopy perturbation method , mathematics , nonlinear system , homotopy , perturbation (astronomy) , mathematical analysis , pure mathematics , physics , quantum mechanics

We introduce two powerful methods to solve the Davey-Stewartson equations: one is the homotopy perturbation method (HPM) and the other is the homotopy analysis method (HAM). HAM is a strong and easy to use analytic tool for nonlinear problems. Comparison of the HPM results with the HAM results, and compute the absolute errors between the exact solutions of the DS equations with the HPM solutions and HAM solutions are obtained

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