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

الموضوعات : فصلنامه ریاضی

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

تاريخ الإرسال : 07 الخميس , رجب, 1437 تاريخ التأكيد : 07 الخميس , رجب, 1437 تاريخ الإصدار : 21 الخميس , ذو الحجة, 1437

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

ملخص المقالة :

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.