A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS

الموضوعات : فصلنامه ریاضی

S. M. Mirzaei ¹ (Faculty of science, Minoodasht Branch, Islamic Azad University, Iran Iran, Islamic Republic of Department of Mathematics)

تاريخ الإرسال : 06 الأربعاء , رجب, 1437 تاريخ التأكيد : 06 الأربعاء , رجب, 1437 تاريخ الإصدار : 16 الإثنين , ربيع الثاني, 1432

الکلمات المفتاحية: HPM, Taylor series, Integral Equation,

ملخص المقالة :

In this paper, we will compare a Homotopy perturbation algorithm and Taylor series expansin method for a system of second kind Fredholm integral equations. An application of He’s homotopy perturbation method is applied to solve the system of Fredholm integral equations. Taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.