USING PG ELEMENTS FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

الموضوعات : فصلنامه ریاضی

Majid Karami ¹ (South Tehran Branch, Islamic Azad university Iran, Islamic Republic of)

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 20 الجمعة , جمادى الأولى, 1435

الکلمات المفتاحية: integro-differential equations, Petrov-Galerkinmethod, Regular pair, Trial space, Test space,

ملخص المقالة :

In this paper, we use Petrov-Galerkin elements such as continuous and discontinuous Lagrange-type k-0 elements and Hermite-type 3-1 elements to find an approximate solution for linear Fredholm integro-differential equations on $[0,1]$. Also weshow the efficiency of this method by some numerical examples