Mathematical analysis and symmetric fractional-order reduction method for diffusion-wave equations
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915919790342144 |
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| author | Cen, Dakang Ou, Caixia Vong, Seakweng |
| author_facet | Cen, Dakang Ou, Caixia Vong, Seakweng |
| contents | In this work, our aim is to introduce a symmetric fractional-order reduction (SFOR) method to develop numerical algorithms on nonuniform temporal meshes for fractional wave equations under lower regularity assumptions. The $L$-type methods--including $L1$ and $L2$-$1_σ$ schemes--are specifically designed for diffusion-wave equations, and we propose novel optimal parameter selections tailored to nonuniform meshes. Finally, several numerical experiments are conducted to validate the efficiency and accuracy of the algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05361 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mathematical analysis and symmetric fractional-order reduction method for diffusion-wave equations Cen, Dakang Ou, Caixia Vong, Seakweng Numerical Analysis 35R30, 65M32, 35R11 In this work, our aim is to introduce a symmetric fractional-order reduction (SFOR) method to develop numerical algorithms on nonuniform temporal meshes for fractional wave equations under lower regularity assumptions. The $L$-type methods--including $L1$ and $L2$-$1_σ$ schemes--are specifically designed for diffusion-wave equations, and we propose novel optimal parameter selections tailored to nonuniform meshes. Finally, several numerical experiments are conducted to validate the efficiency and accuracy of the algorithms. |
| title | Mathematical analysis and symmetric fractional-order reduction method for diffusion-wave equations |
| topic | Numerical Analysis 35R30, 65M32, 35R11 |
| url | https://arxiv.org/abs/2604.05361 |