A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS

作者：Yao, Zhongsheng; Wang, Zhibo^*

来源：Journal of Applied Analysis and Computation, 2018, 8(4): 1159-1169.

DOI：10.11948/2018.1159

• Fourth-order fractional sub-diffusion equation
• compact difference scheme
• energy method

In this paper, a compact finite difference scheme with global convergence order O(tau(2) + h(4)) is derived for fourth-order fractional sub-diffusion equations subject to Neumann boundary conditions. The difficulty caused by the fourth-order derivative and Neumann boundary conditions is carefully handled. The stability and convergence of the proposed scheme are studied by the energy method. Theoretical results are supported by numerical experiments.

• 出版日期2018-8
• 单位广东工业大学