1Madurai Sivakasi Nadars Pioneer Meenakshi Women's College, Poovanthi, Tamil Nadu, India
2The Madura College, Madurai, Tamil Nadu, India
*Corresponding author e-mail: ananthu9777@rediffmail.com
Online published on 15 September, 2014.
In this method new approach on Liao's Homotopy analysis method is discussed. The authors introduced the new approach on which they claim makes the calculation of Homotopy analysis method easy. The analytical solutions for non-linear reaction diffusion equations using Homotopy analysis method and new Homotopy analysis method were discussed with examples. We also prove analytically that the methods given by Liao is equivalent to the present method.
Homotopy perturbation method, Homotopy analysis method, New approach on Homotopy analysis method, Initial value problems, Riccati differential equations, Numerical simulation
