The Allen-Cahn equation with a time Caputo-Hadamard derivative: Mathematical and Numerical Analysis

In this paper, we investigate the local discontinuous Galerkin (LDG) finite element method for the fractional Allen-Cahn equation with Caputo-Hadamard derivative in the time domain. First, the regularity of the solution is analyzed, and the results indicate that the solution of this equation general...

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Bibliographic Details
Main Authors: Zhen Wang, Luhan Sun
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:Communications in Analysis and Mechanics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2023031?viewType=HTML