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    Abstract
2014 (Vol. 7, Issue: 4)
Article Information:

A New Homotopy Analysis Method for Approximating the Analytic Solution of KdV Equation

Vahid Barati, Mojtaba Nazari, Vincent Daniel David and Zainal Abdul Aziz
Corresponding Author:  Zainal Abdul Aziz 

Key words:  Approximate analytic solution, ħ-curve, KdV equation, new homotopy analysis method, system of first order differential equation, ,
Vol. 7 , (4): 826-831
Submitted Accepted Published
April 26, 2013 May 07, 2013 January 27, 2014
Abstract:

In this study a new technique of the Homotopy Analysis Method (nHAM) is applied to obtain an approximate analytic solution of the well-known Korteweg-de Vries (KdV) equation. This method removes the extra terms and decreases the time taken in the original HAM by converting the KdV equation to a system of first order differential equations. The resulted nHAM solution at third order approximation is then compared with that of the exact soliton solution of the KdV equation and found to be in excellent agreement.
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  Cite this Reference:
Vahid Barati, Mojtaba Nazari, Vincent Daniel David and Zainal Abdul Aziz, 2014. A New Homotopy Analysis Method for Approximating the Analytic Solution of KdV Equation.  Research Journal of Applied Sciences, Engineering and Technology, 7(4): 826-831.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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