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On the numerical solution of integral equations of the second kind over infinite intervals

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Abstract

In this paper, we discuss the numerical solution of a class of linear integral equations of the second kind over an infinite interval. The method of solution is based on the reduction of the problem to a finite interval by means of a suitable family of mappings so that the resulting singular equation can be accurately solved using spectral collocation at the Jacobi-Gauss points. Several selected numerical examples are presented and discussed to illustrate the application and effectiveness of the proposed approach.

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  1. Department of Mathematics, University of Bordj Bou Arreridj, 34030, El Anasser, Algeria

    Azedine Rahmoune

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Rahmoune, A. On the numerical solution of integral equations of the second kind over infinite intervals. J. Appl. Math. Comput. 66, 129–148 (2021). https://doi.org/10.1007/s12190-020-01428-2

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