In this paper, we propose a numerical method for one-dimensional Fredholm integral equations of the second kind by the IMT-type DE rules for numerical integration. We obtain our method by enhancing the DE-Nyström method by replacing the DE rule used for discretizing the integral operator with the IMT-type DE rules. It is free of the difficulty of parameter tuning, that is, the problem of choosing the mesh size of the DE rule for the given number of unknowns as in the DE-Nyström method. Numerical examples show that it is competitive with the DE-Nyström method.

中文翻译：

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IMT型DE规则的第二类Fredholm积分方程的数值方法

在本文中，我们提出了一种基于IMT型DE数值积分的第二维一维Fredholm积分方程的数值方法。通过将DE-Nyström方法增强，用IMT型DE规则替换用于离散化积分算子的DE规则，可以得到我们的方法。它没有参数调整的困难，也就是像DE-Nyström方法一样，为给定数量的未知数选择DE规则的网格大小的问题。数值算例表明，该方法与DE-Nyström方法具有竞争力。