Numerical solution of linear Fredholm integral equations
نویسنده
چکیده
In this paper, numerical solution of linear Fredholm integral equations of the second kind is considered by two methods. The methods are developed by means of the Sinc-collocation method and shifted Chebyshev polynomial method. Some numerical examples are presented to illustrate the method. Numerical solution of linear Fredholm integral equations. 1. Introduction Many initial and boundary value problems can be transformed into integral equations and in many cases, we cannot solve this equations analytically to find an exact solution. So that by using numerical methods we try to find the approximate solution of these equations. Several authors have considered the numerical solution of the integral equations with different methods ([1 ,2,5,7,10,11]). This paper consists of two parts. In part I, we study the numerical solution of system of linear Fredholm integral equations of the second kind by means of Sinc-collocation method, this method consists of reducing the system of Fredholm integral equations to a set of algebraic equations with unknown coefficients by using the properties of Sinc function. In part II, we study the numerical solution of linear Fredholm integral equations by shifted Chebyshev polynomial method which transforms Fredholm integral equation into a matrixequation.
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