[1]杨郑亚,陈雪娟,梁宗旗.基于谱延迟校正的分数阶扩散方程的数值解法[J].集美大学学报(自然科学版),2024,29(5):468-474.
YANG Zhengya,CHEN Xuejuan,LIANG Zongqi.Numerical Solution of Time Fractional Diffusion Equation Based on Spectral Deferred Correction[J].Journal of Jimei University,2024,29(5):468-474.
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基于谱延迟校正的分数阶扩散方程的数值解法(PDF)
YANG Zhengya,CHEN Xuejuan,LIANG Zongqi.Numerical Solution of Time Fractional Diffusion Equation Based on Spectral Deferred Correction[J].Journal of Jimei University,2024,29(5):468-474.
《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
- 第29卷
- 期数:
- 2024年第5期
- 页码:
- 468-474
- 栏目:
- 数理科学与信息工程
- 出版日期:
- 2024-09-28
文章信息/Info
- Title:
- Numerical Solution of Time Fractional Diffusion Equation Based on Spectral Deferred Correction
- Author(s):
- YANG Zhengya; CHEN Xuejuan; LIANG Zongqi
- School of Science,Jimei University,Xiamen 361021,China
- 关键词:
- 时间分数阶扩散方程; 谱延迟校正; Fourier谱方法; 稳定性; 收敛性
- Keywords:
- time fractional diffusion equation; spectral deferred correction; Fourier spectral method; stability; convergence
- 分类号:
- -
- DOI:
- -
- 文献标志码:
- A
- 摘要:
- 主要研究了时间分数阶扩散方程的高阶数值解法。在空间方向上利用Fourier谱方法，在时间方向上采用谱延迟校正方法，得到空间和时间方向均有谱精度的离散格式，并证明离散格式的稳定性和收敛性。最后通过数值例子验证了数值方法的可行性与有效性。
- Abstract:
- This paper mainly studies the high-order numerical solution of time fractional diffusion equation.Using Fourier spectral method in space direction and spectral deferred correction method in time direction,a discrete scheme with spectral accuracy in space and time direction is obtained,and the stability and convergence of the scheme are proved.Finally,a numerical example is given to verify the feasibility and effectiveness of the numerical method.
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更新日期/Last Update:
2024-12-10