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 A matrix method for system of integro-differential equations by using generalized Laguerre polynomials
Type Article
Keywords
Systems of linear Fredholm integro-diff erential equations, Un bounded domain, Generalized Laguerre polynomials, Operational matrix of integration
Journal iranian journal of numerical analysis and optimization
DOI
Researchers Mashallah Matinfar (First researcher) , Abbas Riahifar (Second researcher)

Abstract

The purpose of this research is to present a matrix method for solving system of linear Fredholm integro-di erential equations(FIDEs) of the second kind on unbounded domain with degenerate kernels in terms of generalized Laguerre polynomials(GLPs). The method is based on the approximation of the truncated generalized Laguerre series. Then the system of (FIDEs) along with initial conditions are transformed into the matrix equations, which cor- responds to a system of linear algebraic equations with the unknown gen- eralized Laguerre coecients. Combining these matrix equations and then solving the system yields the generalized Laguerre coecients of the solution function. In addition, several numerical examples are given to demonstrate the validity, eciency and applicability of the technique