Error analyses of Sinc-collocation methods for exponential decay initial value problems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866915378166235136 |
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| author | Okayama, Tomoaki Hara, Ryota Goto, Shun'ichi |
| author_facet | Okayama, Tomoaki Hara, Ryota Goto, Shun'ichi |
| contents | Nurmuhammad et al. developed the Sinc-Nyström methods for initial value problems in which the solutions exhibit exponential decay end behavior. In these methods, the Single-Exponential (SE) transformation or the Double-Exponential (DE) transformation is combined with the Sinc approximation. Hara and Okayama improved on these transformations to attain a better convergence rate, which was later supported by theoretical error analyses. However, these methods have a computational drawback owing to the inclusion of a special function in the basis functions. To address this issue, Okayama and Hara proposed Sinc-collocation methods, which do not include any special function in the basis functions. This study conducts error analyses of these methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15175 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Error analyses of Sinc-collocation methods for exponential decay initial value problems Okayama, Tomoaki Hara, Ryota Goto, Shun'ichi Numerical Analysis 65L04, 65L05, 65R20, 65D30 Nurmuhammad et al. developed the Sinc-Nyström methods for initial value problems in which the solutions exhibit exponential decay end behavior. In these methods, the Single-Exponential (SE) transformation or the Double-Exponential (DE) transformation is combined with the Sinc approximation. Hara and Okayama improved on these transformations to attain a better convergence rate, which was later supported by theoretical error analyses. However, these methods have a computational drawback owing to the inclusion of a special function in the basis functions. To address this issue, Okayama and Hara proposed Sinc-collocation methods, which do not include any special function in the basis functions. This study conducts error analyses of these methods. |
| title | Error analyses of Sinc-collocation methods for exponential decay initial value problems |
| topic | Numerical Analysis 65L04, 65L05, 65R20, 65D30 |
| url | https://arxiv.org/abs/2306.15175 |