Nonoverlapping Schwarz Waveform Relaxation and Numerical Recovery for Non-Fickian Problems With Time-Delay

In this paper, we study the nonoverlapping Schwarz waveform relaxation algorithm with Robin transmission conditions (TCs) and numerical recovery for non-Fickian diffusion equations with time-delay. We derive an ideal Robin parameter by technically solving a special min-max problem. We show that the free parameter in TCs has a significant effect on the convergence rate of the algorithm. Finally, we present several numerical results to confirm the effectiveness of the proposed algorithm.