3 papers
math.NA2025
A Relaxed Step-Ratio Constraint for Time-Fractional Cahn--Hilliard Equations: Analysis and Computation
Shipeng Li, Hengfei Ding
Numerical solutions of time-fractional differential equations encounter significant challenges arising from solution singularities at the initial time. To address this issue, the c…
math.NA2025
Mathematical analysis and numerical simulation of coupled nonlinear space-fractional Ginzburg-Landau equations
Hengfei Ding, Yuxin Zhang, Qian Yi
The coupled nonlinear space fractional Ginzburg-Landau (CNLSFGL) equations with the fractional Laplacian have been widely used to model the dynamical processes in a fractal media w…
math.NA2025
Implicit integration factor method coupled with Padé approximation strategy for nonlocal Allen-Cahn equation
Yuxin Zhang, Hengfei Ding
The space nonlocal Allen-Cahn equation is a famous example of fractional reaction-diffusion equations. It is also an extension of the classical Allen-Cahn equation, which is widely…