Abstract:
In this thesis we present the homotopy perturbation method (HPM). We
applied it for solving some differential and integral equations (linear and
nonlinear). The HPM is a coupling of the traditional perturbation method
and homotopy in topology. This method doesn’t require a small
parameter in an equations. It method provides an analytical approximate
solution for the differential equations. We also present a modification of
The homotopy perturbation method. and apply it also for solving linear
and nonlinear differential equations. The modified HPM accelerates the
rapid convergence of the series solution. The modification provides the
exact solution by using only minimal number of iteration and improve the
performance of the standard HPM .
