| Autor: |
Yin, Baoli, Zhang, Guoyu, Liu, Yang, Li, Hong |
| Rok vydání: |
2022 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
A general conversion strategy by involving a shifted parameter $\theta$ is proposed to construct high-order accuracy difference formulas for fractional calculus operators. By converting the second-order backward difference formula with such strategy, a novel $\theta$-scheme with correction terms is developed for the subdiffusion problem with nonsmooth data, which is robust even for very small $\alpha$ and can resolve the initial singularity.The optimal error estimates are carried out with essential arguments and are verified by numerical tests. |
| Databáze: |
arXiv |
| Externí odkaz: |
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