Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations

Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations

In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences. The proposed modification is an elegant coupling of the Homotopy Analysis Method (HAM) and Taylor’s ser...

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Bibliographic Details
Main Authors: Muhammad USMAN, Tamour ZUBAIR, Irfan RASHID, Imran RASHID, Ahmet YILDIRIM, Syed Tauseef MOHYUD-DIN
Format: Article
Language:English
Published: Walailak University 2013-07-01
Series:Walailak Journal of Science and Technology
Subjects:
Homotopy analysis method
Taylor’s series
exact solutions
MAPLE
Zakharov-Kuznetsov equations
Online Access:http://wjst.wu.ac.th/index.php/wjst/article/view/340
Description
Summary:In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences. The proposed modification is an elegant coupling of the Homotopy Analysis Method (HAM) and Taylor’s series. Numerical results, coupled with graphical representation, explicitly reveal the complete reliability of the proposed algorithm.
ISSN:1686-3933
2228-835X

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