An efficient nonpolynomial spline method for distributed order fractional subdiffusion equations

作者：Li Xuhao; Wong Patricia J Y^*

来源：Mathematical Methods in the Applied Sciences, 2018, 41(13): 4906-4922.

DOI：10.1002/mma.4938

• distributed order
• fractional differential equation
• nonpolynomial spline
• numerical scheme
• subdiffusion equation

In this paper, we propose an efficient numerical method for a distributed order fractional subdiffusion problem using nonpolynomial spline approach. The solvability, stability, and convergence of the scheme are established rigorously, and it is shown that the spatial convergence order improves some previous work done. Simulation is then conducted to verify the accuracy of the proposed scheme as well as to compare with earlier work.

• 出版日期2018-9-15
• 单位南阳理工学院