NUMERICAL SOLUTION OF FREDHOLM INTEGRAL-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAIN

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MATINFAR M.; RIAHIFAR A.

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Journal Paper

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Journal: Journal of Linear and Topological Algebra Year:2015 | Volume:4 | Issue:1 Page(s): 43-52

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Title

NUMERICAL SOLUTION OF FREDHOLM INTEGRAL-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAIN

Author(s)

MATINFAR M. | RIAHIFAR A. | Issue Writer Certificate

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 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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APA: Copy

MATINFAR, M., & RIAHIFAR, A.. (2015). NUMERICAL SOLUTION OF FREDHOLM INTEGRAL-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAIN. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 4(1), 43-52. SID. https://sid.ir/paper/335620/en

Vancouver: Copy

MATINFAR M., RIAHIFAR A.. NUMERICAL SOLUTION OF FREDHOLM INTEGRAL-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAIN. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2015;4(1):43-52. Available from: https://sid.ir/paper/335620/en

IEEE: Copy

M. MATINFAR, and A. RIAHIFAR, “NUMERICAL SOLUTION OF FREDHOLM INTEGRAL-DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAIN,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 4, no. 1, pp. 43–52, 2015, [Online]. Available: https://sid.ir/paper/335620/en

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