A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel
In this paper, we introduce a multi-domain Müntz-polynomial spectral collocation method with graded meshes for solving second kind Volterra integral equations with a weakly singular kernel. This method is particularly suitable for problems whose solutions contain non-integer exponent factors. We car...
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| Những tác giả chính: | , |
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| Định dạng: | Статья |
| Ngôn ngữ: | English |
| Được phát hành: |
Elsevier B.V.
2021
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://dspace.ncfu.ru/handle/20.500.12258/16002 |
| Các nhãn: |
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| Tóm tắt: | In this paper, we introduce a multi-domain Müntz-polynomial spectral collocation method with graded meshes for solving second kind Volterra integral equations with a weakly singular kernel. This method is particularly suitable for problems whose solutions contain non-integer exponent factors. We carry out a rigorous error analysis of hp-version in the L∞- and weighted L2-norms. Several numerical examples are presented to demonstrate the efficiency and accuracy of the method |
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