Some perturbation methods to solve linear and non-linear differential equation

Abstract

In this research project paper, our aim to solve linear and non-linear differential equation by the general perturbation theory such as regular perturbation theory and singular perturbation theory as well as by homotopy perturbation method. The problem of an incompressible viscous flow i.e. Blasius equation over a flat plate is presented in this research project. This is a non-linear differential equation. So, the homotopy perturbation method (HPM) is employed to solve the well-known Blasius non-linear differential equation. The obtained result have been compared with the exact solution of Blasius equation.