General iterative approximation to differential equations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929419005722624 |
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| author | Gao, Chang |
| author_facet | Gao, Chang |
| contents | This article provides a general iterative approximation to partial differential equations, and thus establish existence of smooth solution. The heart of the method is to contract (or expand) the boundary conditions uniformly in the domain, then using local and global correspondence to transform discrete step function to successive integration on the domain. Numerical scheme is discussed and tested for Navier-Stokes equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14344 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | General iterative approximation to differential equations Gao, Chang Analysis of PDEs 35A01 This article provides a general iterative approximation to partial differential equations, and thus establish existence of smooth solution. The heart of the method is to contract (or expand) the boundary conditions uniformly in the domain, then using local and global correspondence to transform discrete step function to successive integration on the domain. Numerical scheme is discussed and tested for Navier-Stokes equation. |
| title | General iterative approximation to differential equations |
| topic | Analysis of PDEs 35A01 |
| url | https://arxiv.org/abs/2303.14344 |