February 8, 2023
Mashallah Matinfar

Mashallah Matinfar

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


Title Application of Laguerre Polynomials for Solving Infinite Boundary Integro-Differential Equations
Type Article
Infinite boundary integro-differential equations; Laguerre polynomials; Operational matrix; Linear sets
Journal international journal of industrial mathematics
DOI این مقاله ندارد
Researchers Mashallah Matinfar (First researcher) , Abbas Riahifar (Second researcher)


In this study‎, ‎an efficient method is presented for solving infinite boundary integro-differential equations (IBI-DE) of the second kind with degenerate kernel in terms of Laguerre polynomials‎. ‎Properties of these polynomials and operational matrix of integration are first presented‎. ‎These properties are then used to transform the integral equation to a matrix equation which corresponds to a linear system of algebraic equations with unknown Laguerre coefficients‎. ‎We prove the convergence analysis of method applied to the solution integro-differential equations‎. ‎Finally‎, ‎numerical examples illustrate the efficiency and accuracy of the method.