Matinfar, M., Riahifar, A. (2015). Numerical solution of Fredholm integral-differential equations on unbounded domain. Journal of Linear and Topological Algebra (JLTA), 04(01), 43-52.

M. Matinfar; A. Riahifar. "Numerical solution of Fredholm integral-differential equations on unbounded domain". Journal of Linear and Topological Algebra (JLTA), 04, 01, 2015, 43-52.

Matinfar, M., Riahifar, A. (2015). 'Numerical solution of Fredholm integral-differential equations on unbounded domain', Journal of Linear and Topological Algebra (JLTA), 04(01), pp. 43-52.

Matinfar, M., Riahifar, A. Numerical solution of Fredholm integral-differential equations on unbounded domain. Journal of Linear and Topological Algebra (JLTA), 2015; 04(01): 43-52.

Numerical solution of Fredholm integral-differential equations on unbounded domain

^{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

Abstract

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

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