Quantifying and eliminating the time delay in stabilization exponential time differencing Runge–Kutta schemes for the Allen–Cahn equation

H Zhang, L Liu, X Qian, S Song - ESAIM: Mathematical Modelling …, 2024 - esaim-m2an.org
Although the stabilization technique is favorable in designing unconditionally energy stable
or maximum-principle-preserving schemes for gradient flow systems, the induced time delay …

Numerical simulation and theoretical analysis of pattern dynamics for the fractional-in-space Schnakenberg model

JL Wang, YX Han, QT Chen, ZY Li, MJ Du… - Frontiers in …, 2024 - frontiersin.org
Effective exploration of the pattern dynamic behaviors of reaction–diffusion models is a
popular but difficult topic. The Schnakenberg model is a famous reaction–diffusion system …