Homotopy Perturbation Method for Solving Advection and Integral Equations

Abstract

In this thesis we apply the homotopy perturbation method (HPM) to solve some partial differential and integral equations. Firstly we solve a time dependent homogenous and non-homogenous partial differential equations, subject to different kind of initial and boundary conditions. Then we apply the homotopy perturbation method (HPM) to solve non-linear advection differential equations. Further more, the homotopy perturbation method (HPM) is applied to solve some kind of integral equations.