Numerical Solution of Nonclassical Boundary Value Problems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910326023258112 |
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| author | Boito, Paola Eidelman, Yuli Gemignani, Luca |
| author_facet | Boito, Paola Eidelman, Yuli Gemignani, Luca |
| contents | We provide a new approach to obtain solutions of certain evolution equations set in a Banach space and equipped with nonlocal boundary conditions. From this approach we derive a family of numerical schemes for the approximation of the solutions. We show by numerical tests that these schemes are numerically robust and computationally efficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06943 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical Solution of Nonclassical Boundary Value Problems Boito, Paola Eidelman, Yuli Gemignani, Luca Numerical Analysis 65F60, 65N22 We provide a new approach to obtain solutions of certain evolution equations set in a Banach space and equipped with nonlocal boundary conditions. From this approach we derive a family of numerical schemes for the approximation of the solutions. We show by numerical tests that these schemes are numerically robust and computationally efficient. |
| title | Numerical Solution of Nonclassical Boundary Value Problems |
| topic | Numerical Analysis 65F60, 65N22 |
| url | https://arxiv.org/abs/2402.06943 |