‎Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary ‎conditions‎

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

D.‎‎ Nazari ‎Susahab‎ ¹ (Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.)
M. Jahanshahi ² (Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.)

تاریخ دریافت : 1393/11/13 تاریخ پذیرش : 1393/11/13 تاریخ انتشار : 1393/10/11

کلید واژه: Fractional integro-differentia, Boundary mixed Conditions, Nystr\{o}m method, Newton-Kantorovitch ‎method.‎,

چکیده مقاله :

The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary conditions‎. ‎The basic idea is to convert fractional integro-differential equation to a type of second kind Fredholm integral equation‎. ‎Then the obtained Fredholm integral equation will be solved with Nystr\"{o}m and Newton-Kantorovitch method‎. ‎Numerical tests for demonstrating the accuracy of the method is ‎included.‎