For time fractional Cahn–Hilliard model, we observe from the numerical results that the bigger the fractional order α is, the faster the energy decays. However, ...

Jul 7, 2018 · Abstract. We study (time) fractional Allen-Cahn and Cahn-Hilliard phase-field models to account for the anomalously.

For time fractional Cahn–Hilliard model, we observe from the numerical results that the bigger the fractional order α is, the faster the energy decays. However, ...

In this work, we consider a time-fractional Allen–Cahn equation, where the conventional first order time derivative is replaced by a Caputo fractional ...

Apr 16, 2020 · Mostly two very important phase-field partial differential equation (PDE) models, the Allen–Cahn and Cahn–Hilliard models, have been studied ...

In this work, we consider a time-fractional Allen-Cahn equation, where the conventional first order time derivative is replaced by a Caputo fractional ...

The present study proposes a numerical method to solve the time-fractional Allen–Cahn equation. The Grunwald–Letnikov formula is employed for discretizing ...

Li et al. [29] explored the numerical solution of space-time fractional Allen–Cahn phase-field equation arising in the study of fluid mixture having two ...

In this paper, we derive the time-fractional Cahn–Hilliard equation from continuum mixture theory with a modification of Fick's law of diffusion. This model ...

Jun 1, 2020 · The Cahn–Hilliard equation can be viewed as a gradient flow with the energy (1.2) in H-1. 70. It is well known that with proper boundary ...