Numerical analysis of linear and nonlinear time-fractional subdiffusion equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866917874542575616 |
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| author | Yang, Yubo Zeng, Fanhai |
| author_facet | Yang, Yubo Zeng, Fanhai |
| contents | In this paper, a new type of the discrete fractional Gr{ö}nwall inequality is developed, which is applied to analyze the stability and convergence of a Galerkin spectral method for a linear time-fractional subdiffusion equation. Based on the temporal-spatial error splitting argument technique, the discrete fractional Gr{ö}nwall inequality is also applied to prove the unconditional convergence of a semi-implicit Galerkin spectral method for a nonlinear time-fractional subdiffusion equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_06814 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Numerical analysis of linear and nonlinear time-fractional subdiffusion equations Yang, Yubo Zeng, Fanhai Numerical Analysis In this paper, a new type of the discrete fractional Gr{ö}nwall inequality is developed, which is applied to analyze the stability and convergence of a Galerkin spectral method for a linear time-fractional subdiffusion equation. Based on the temporal-spatial error splitting argument technique, the discrete fractional Gr{ö}nwall inequality is also applied to prove the unconditional convergence of a semi-implicit Galerkin spectral method for a nonlinear time-fractional subdiffusion equation. |
| title | Numerical analysis of linear and nonlinear time-fractional subdiffusion equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1901.06814 |