A new analytical approach to linear and nonlinear partial differential equations

  • Shehu Maitama

Abstract

In this paper, a new analytical method to linear and nonlinear partial differential equation called the Natural Homotopy Perturbation Method (NHPM) is introduced. The new analytical method is a combination of the Natural Transform Method (NTM) and a well known analytical method, Homotopy Perturbation Method (HPM). The proposed analytical method avoids round off errors, linearization, transformation or taking some restrictive assumptions. Exact solution of linear and nonlinear partial differential equation are successfully obtained using the new analytical method, and the results are compared with the results of the existing methods. The high simplicity, efficiency, and accuracy of the new analytical method are clearly demonstrated.

Published
2016-11-30
Section
Articles