%0 Journal Article
%T Applications of Homotopy Perturbation Method to Partial Differential Equations
%A P.R. Sharma
%A Giriraj Methi
%J Asian Journal of Mathematics & Statistics
%D 2011
%I Asian Network for Scientific Information
%X The aim of the study is to solve some linear and non-linear differential equations using Homotopy Perturbation Method. The brilliance of the method in obtaining analytical or approximate solutions of some linear and non-linear partial differential equations are compared with earlier results obtained by Adomian Decomposition Method. This method is more efficient and easy to handle such partial differential equation in comparison to other methods. Numerical results show the efficiency, accuracy and validation of the Homotopy Perturbation Method (HPM).
%K finite difference method
%K integral transforms
%K adomian decomposition method
%K Homotopy perturbation method
%U http://docsdrive.com/pdfs/ansinet/ajms/2011/140-150.pdf