Эта публикация цитируется в 1 статье

Статьи, опубликованные в английской версии журнала

Local discontinuous Galerkin method for the variable-order fractional mobile-immobile advection-dispersion equation

Miaomiao Yang^a, Lijie Liu^b, Leilei Wei<sup>b

a</sup> General Education Center, Zhengzhou Business University, Zhengzhou, China
^b School of Mathematics and Statistics, Henan University of Technology, Zhengzhou, China

Аннотация: 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 $\alpha(t)\in(0,1)$. Finally, the correctness of the theoretical analysis is verified by some numerical experiments.

Ключевые слова: the Coimbra VO fractional derivative, stability, error estimate.

Поступила в редакцию: 10.03.2024
Исправленный вариант: 17.10.2024
Принята в печать: 26.03.2025

Язык публикации: английский

 Англоязычная версия: Computational Mathematics and Mathematical Physics, 2025, 65:2, 308–319