Numerical solution of Fredholm integral-differential equations on unbounded domain

Subject Areas : Differential and Integral equations

M. Matinfar ¹ , A. Riahifar ²

1 - Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
2 - Department of Mathematics, Islamic Azad University, Chalus Branch, PO. Code 46615-397, Iran

Received: 2014-12-17 Accepted : 2015-04-10 Published : 2015-04-15

Keywords: Fredholm integro-differential equations, unbounded domain, generalized Laguerre polynomials, Operational matrices,

Abstract :

In this study, a new and efficient approach is presented for numerical solution ofFredholm integro-differential equations (FIDEs) of the second kind on unbounded domainwith degenerate kernel based on operational matrices with respect to generalized Laguerrepolynomials(GLPs). Properties of these polynomials and operational matrices of integration, differentiation are introduced and are ultilized to reduce the (FIDEs) to the solution ofa system of linear algebraic equations with unknown generalized Laguerre coefficients. Inaddition, two examples are given to demonstrate the validity, efficiency and applicability ofthe technique.

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