A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

M. Sotoodeh ¹ , M. A Fariborzi Araghi ²

1 - Department of Applied Mathematics, Science and Research Branch, Islamic Azad University Iran, Islamic Republic of
2 - Department of Applied Mathematics, Central Tehran Branch, Islamic Azad University Iran, Islamic Republic of

Received: 2016-04-14 Accepted : 2016-04-14 Published : 2016-09-22

Keywords: Laplace transform, Improved homotopy perturbation method, Fredholm integro-differential equation,

Abstract :

In this paper, we tried to accelerate the rate of convergence in solving second-order Fredholm type Integro-differential equations using a new method which is based on Improved homotopy perturbation method (IHPM) and applying accelerating parameters. This method is very simple and the result is obtained very fast.