A numerical method for Fredholm integral equations of the second kind by the IMT-type DE rules

Springer Science and Business Media LLC - Tập 38 - Trang 715-729 - 2021
Hidenori Ogata1
1Department of Computer and Network Engineering, Graduate School of Informatics and Engineering, The University of Electro-Communications, Chofu, Japan

Tóm tắt

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.

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Springer Science and Business Media LLC

Tập 38

715-729

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