摘要
In this paper, we study the solutions for variable-order time-fractional diffusion equations. A three-point combined compact difference (CCD) method is used to discretize the spatial variables to achieve sixth-order accuracy, while the exponential-sum-approximation (ESA) is used to approximate the variable-order Caputo fractional derivative in the temporal direction, and a novel spatial sixth-order hybrid ESA-CCD method is implemented successfully. Finally, the accuracy of the proposed method is verified by numerical experiments.
In this paper, we study the solutions for variable-order time-fractional diffusion equations. A three-point combined compact difference (CCD) method is used to discretize the spatial variables to achieve sixth-order accuracy, while the exponential-sum-approximation (ESA) is used to approximate the variable-order Caputo fractional derivative in the temporal direction, and a novel spatial sixth-order hybrid ESA-CCD method is implemented successfully. Finally, the accuracy of the proposed method is verified by numerical experiments.
作者
Xiaoxue Lu
Chunhua Zhang
Huiling Xue
Bowen Zhong
Xiaoxue Lu;Chunhua Zhang;Huiling Xue;Bowen Zhong(College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China;School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China;School of Aircraft Engineering, Nanchang Hangkong University, Nanchang, China)
