Home            Contact us            FAQs
    
      Journal Home      |      Aim & Scope     |     Author(s) Information      |      Editorial Board      |      MSP Download Statistics

     Research Journal of Applied Sciences, Engineering and Technology

    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 
Submitted: April 26, 2013
Accepted: May 07, 2013
Published: 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.

Key words:  Approximate analytic solution, ħ-curve, KdV equation, new homotopy analysis method, system of first order differential equation, ,
Abstract PDF HTML
Cite this Reference:
Vahid Barati, Mojtaba Nazari, Vincent Daniel David and Zainal Abdul Aziz, . A New Homotopy Analysis Method for Approximating the Analytic Solution of KdV Equation. Research Journal of Applied Sciences, Engineering and Technology, (4): 826-831.
ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
Submit Manuscript
   Information
   Sales & Services
Home   |  Contact us   |  About us   |  Privacy Policy
Copyright © 2024. MAXWELL Scientific Publication Corp., All rights reserved