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

Vahid Barati, Mojtaba Nazari, Vincent Daniel David, Zainal Abdul Aziz
2014 Research Journal of Applied Sciences Engineering and Technology  
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.
doi:10.19026/rjaset.7.324 fatcat:6t5diyvt7rbx7knfxlgyfyjwna