February 8, 2023
Mashallah Matinfar

Mashallah Matinfar

Degree: Associate professor
Address:
Education: Ph.D in Applied Mathematics
Phone: 35302496
Faculty: Faculty of Mathematical Sciences

Research

Title Numerical solution of Fredholm integral-differential equations on unbounded domain
Type Article
Keywords
Fredholm integro-differential equations, unbounded domain, generalized Laguerre polynomials, operational matrices.
Journal Journal of Linear and Topological Algebra
DOI
Researchers Mashallah Matinfar (First researcher) , Abbas Riahifar (Second researcher)

Abstract

In this study, a new and ecient approach is presented for numerical solution of Fredholm integro-di fferential 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, di fferentiation are introduced and are ultilized to reduce the (FIDEs) to the solution of a system of linear algebraic equations with unknown generalized Laguerre coffiecients. In addition, two examples are given to demonstrate the validity, efficiency and applicability of the technique.