This paper describes a numerical scheme for a class of fractional diffusion equations with fixed time delay. The study focuses on the uniqueness, convergence and stability of the resulting numerical solution by means of the discrete energy method. The derivation of a linearized difference scheme with convergence order O(τ2?α+ h4) in L∞-norm is the main purpose of this study. Numerical experiments are carried out to support the obtained theoretical results.
展开▼
机译：本文描述了一类具有固定时滞的分数阶扩散方程的数值格式。本研究着重于通过离散能量方法得出的数值解的唯一性，收敛性和稳定性。 L ∞范数中具有收敛阶数O（τ 2？α + h 4 ）的线性差分方案的推导是主要目的这项研究。进行数值实验以支持所获得的理论结果。
展开▼
