مشخصات پژوهش

عنوان	Application of Laguerre Polynomials for Solving Infinite Boundary Integro-Differential Equations
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Infinite boundary integro-differential equations; Laguerre polynomials; Operational matrix; Linear sets
چکیده	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.
پژوهشگران	عباس ریاحی فر (نفر دوم)، ماشاء اله متین فر (نفر اول)