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A new homotopy analysis method for approximating the analytic solution of KDV equation

Barati, Vahid and Nazari, Mojtaba and David, Vincent Daniel and Abdul Aziz, Zainal (2013) A new homotopy analysis method for approximating the analytic solution of KDV equation. In: 5th International Conference on Numerical Optimization and Operations Research (ICNOOR-V), 2013.

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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.

Item Type:Conference or Workshop Item (Paper)
Subjects:Q Science
Divisions:Chancellery
ID Code:37139
Deposited By: Liza Porijo
Deposited On:25 Mar 2014 09:54
Last Modified:20 Sep 2017 09:42

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