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Mashallah Matinfar

Mashallah Matinfar

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
Application of Laguerre Polynomials for Solving Infinite Boundary Integro-Differential Equations
Type
JournalPaper
Keywords
Infinite boundary integro-differential equations; Laguerre polynomials; Operational matrix; Linear sets
Year
2018
Journal international journal of industrial mathematics
DOI
Researchers Mashallah Matinfar ، Abbas Riahifar

Abstract

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.