Local Discontinuous Galerkin Method for the Variable-Order Fractional Mobile-Immobile Advection-Dispersion Equation

被引：0
作者：
Miaomiao Yang [1 ]
Lijie Liu [2 ]
Leilei Wei [2 ]
机构：
[1] General Education Center, Zhengzhou Business University, Zhengzhou
[2] School of Mathematics and Statistics, Henan University of Technology, Zhengzhou
来源：
Computational Mathematics and Mathematical Physics | 2025年 / 65卷 / 2期
基金：
中国国家自然科学基金;
关键词：
error estimate; stability; the Coimbra VO fractional derivative;
D O I：
10.1134/S0965542524702038
中图分类号：
学科分类号：
摘要：
Abstract: In this paper, a high-order local discontinuous Galerkin (LDG) method is proposed to solve the variable-order (VO) fractional mobile-immobile advection-dispersion equation with the Coimbra VO fractional derivative operator. The LDG method in space and the finite difference method in time are the foundations for the method proposed in this paper. We demonstrate that the scheme is unconditionally stable and convergent for. Finally, the correctness of the theoretical analysis is verified by some numerical experiments. © Pleiades Publishing, Ltd. 2025.
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页码：308 / 319
页数：11
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