2 papers
math.NA2026
High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen-Cahn equation
Bingyin Zhang, Hongfei Fu
In this paper, we present a class of nonuniform time-stepping, high-order linear stabilized schemes that can preserve both the discrete energy stability and maximum-bound principle…
math.PR2024
Time fractional stochastic differential equations driven by pure jump Lévy noise
Peixue Wu, Zhiwei Yang, Hong Wang +1
In this paper we introduce a variable order time fractional differential equation driven by pure jump Lévy noise, which models the motion of a particle exhibiting memory effect. W…