A rational spectral collocation method for solving Fredholm integral equations on the whole line
by Azedine Rahmoune; Ahmed Guechi
International Journal of Computing Science and Mathematics (IJCSM), Vol. 13, No. 1, 2021

Abstract: In this paper, a numerical method is proposed to solve a class of linear Fredholm integral equations on the whole line. The method is developed by means of mapped Gegenbauer rational functions. A special quadrature rule based on mapped Gegenbauer-Gauss points and weights is then utilised to evaluate the infinite integrals appeared in the scheme. Thus, the solution of the problem reduces to the solution of a simple system of algebraic equations. Convergence and error analysis are discussed and numerical examples illustrate the efficiency of the method.

Online publication date: Tue, 13-Apr-2021

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