SOLUTION OF KDV AND COUPLED BURGER’S EQUATION VIA MAHGOUB HOMOTOPY PERTURBATION TRANSFORM SCHEME

Y. Khandelwal, P. Chanchal and R. Khandelwal

  DOI:
  https://doi.org/10.37418/amsj.9.4.57

Full Text

This article represents an elegant way to use Mahgoub Homotopy Perturbation Transform Scheme (MHPTS) to solve non-linear partial differential system, i.e. KdV system of third order, Coupled Hirota Satsuma KdV system and Coupled Burger’s system of one and two Dimensions. The result shows that above method is very instinctive for solving system of Partial Differential Equation in facile manner.


Keywords:
Mahgoub Transform, Coupled Non-linear P.D.E, \hat{H}omotopy Perturbation Method, He’s Polynomial, KdV Equation, Coupled Burger’s Equations.