The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations
Joint Authors
Zedan, Hassan A.
El Adrous, Eman
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-28
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We introduce two powerful methods to solve the generalized Zakharov equations; one is the homotopy perturbation method and the other is the homotopy analysis method.
The homotopy perturbation method is proposed for solving the generalized Zakharov equations.
The initial approximations can be freely chosen with possible unknown constants which can be determined by imposing the boundary and initial conditions; the homotopy analysis method is applied to solve the generalized Zakharov equations.
HAM is a strong and easy-to-use analytic tool for nonlinear problems.
Computation of the absolute errors between the exact solutions of the GZE equations and the approximate solutions, comparison of the HPM results with those of Adomian’s decomposition method and the HAM results, and computation the absolute errors between the exact solutions of the GZE equations with the HPM solutions and HAM solutions are presented.
American Psychological Association (APA)
Zedan, Hassan A.& El Adrous, Eman. 2012. The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-480850
Modern Language Association (MLA)
Zedan, Hassan A.& El Adrous, Eman. The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-480850
American Medical Association (AMA)
Zedan, Hassan A.& El Adrous, Eman. The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-480850
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480850