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.

中文翻译：

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关于无限区间上第二类积分方程的数值解

在本文中，我们讨论了无限长区间上的一类第二类线性积分方程的数值解。解决方法是基于通过适当的映射族将问题减少到有限区间的基础，从而可以使用Jacobi-Gauss点处的频谱搭配来精确求解所得的奇异方程。介绍并讨论了几个选定的数值示​​例，以说明所提出方法的应用和有效性。