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

被引：0
作者：
Yang, Miaomiao [1 ]
Liu, Lijie [2 ]
Wei, Leilei [2 ]
机构：
[1] Zhengzhou Business Univ, Gen Educ Ctr, Zhengzhou, Peoples R China
[2] Henan Univ Technol, Sch Math & Stat, Zhengzhou, Peoples R China
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2025年 / 65卷 / 02期
基金：
中国国家自然科学基金;
关键词：
the Coimbra VO fractional derivative; stability; error estimate; SPECTRAL COLLOCATION METHOD; FINITE-DIFFERENCE METHOD; SOLUTE TRANSPORT; NUMERICAL-METHOD; TIME; DIFFUSION; APPROXIMATIONS; CONVERGENCE; SCHEMES; MODELS;
D O I：
10.1134/S0965542524702038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 alpha(t) is an element of(0,1). Finally, the correctness of the theoretical analysis is verified by some numerical experiments.
引用
收藏
页码：308 / 319
页数：12
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