| Autor: |
张光辉(ZHANG Guanghui) |
| Jazyk: |
čínština |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Zhejiang Daxue xuebao. Lixue ban, Vol 51, Iss 3, Pp 328-335 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1008-9497 |
| DOI: |
10.3785/j.issn.1008-9497.2024.03.011 |
| Popis: |
Based on the equivalent integral-differential form of the equation considered, an alternate directional implicit (ADI) numerical scheme for two-dimensional nonlinear time-fractional wave equations with initial singularity was developed by combining the convolution quadrature formula with the Crank-Nicolson technique. Theoretical derivation shows that the scheme has at least order γ accuracy in time direction and order 4 accuracy in space direction. Finally, a numerical example is demonstrated to verify the conclusion.(基于具有初始奇异性的二维非线性时间分数阶波动方程的等价积分-微分形式，将卷积求积公式与Crank-Nicolson技术相结合，建立了求解该方程的交替方向隐式（alternate directional implicit，ADI）数值格式。理论推导说明，该格式在时间方向上至少具有γ阶精度，在空间方向上具有4阶精度，并用数值算例进行了验证。) |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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