A shooting-Newton procedure for solving fractional terminal 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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| Acceso en línea: | |
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| _version_ | 1866909376838631424 |
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| author | Brugnano, Luigi Gurioli, Gianmarco Iavernaro, Felice |
| author_facet | Brugnano, Luigi Gurioli, Gianmarco Iavernaro, Felice |
| contents | In this paper we consider the numerical solution of fractional terminal value problems (FDE-TVPs). In particular, the proposed procedure uses a Newton-type iteration which is particularly efficient when coupled with a recently-introduced step-by-step procedure for solving fractional initial value problems (FDE-IVPs), able to produce spectrally accurate solutions of FDE problems. Some numerical tests are reported to make evidence of its effectiveness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08516 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A shooting-Newton procedure for solving fractional terminal value problems Brugnano, Luigi Gurioli, Gianmarco Iavernaro, Felice Numerical Analysis 34A08, 65R20 In this paper we consider the numerical solution of fractional terminal value problems (FDE-TVPs). In particular, the proposed procedure uses a Newton-type iteration which is particularly efficient when coupled with a recently-introduced step-by-step procedure for solving fractional initial value problems (FDE-IVPs), able to produce spectrally accurate solutions of FDE problems. Some numerical tests are reported to make evidence of its effectiveness. |
| title | A shooting-Newton procedure for solving fractional terminal value problems |
| topic | Numerical Analysis 34A08, 65R20 |
| url | https://arxiv.org/abs/2312.08516 |