Fourth-order difference solvers for nonlinear delayed fractional sub-diffusion equations with variable coefficients

作者：Xie J.; Deng D.^*; Zheng H.

来源：International Journal of Modelling and Simulation, 2017, 37(4): 241-251.

DOI：10.1080/02286203.2017.1358133

• compact difference scheme
• convergence
• Delayed fractional sub-diffusion equations
• stability

In this paper, a compact difference scheme is established for nonlinear delayed fractional sub-diffusion equations. By the discrete energy method, it is shown that it achieves the convergence rate of O(?2-α + h4) in L∞- norm, and is unconditionally stable. Here, α is the order of fractional derivative. Besides, the extension of the solver to multi-term time fractional sub-diffusion equations with delays is discussed. Finally, numerical results demonstrate the effectiveness of our solvers.

• 出版日期2017
• 单位南昌航空大学