Mixed finite element method for a time-fractional generalized Rosenau-RLW-Burgers equation

被引：0
|
作者：
Yang, Ning [1 ]
Liu, Yang [1 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
AIMS MATHEMATICS | 2025年 / 10卷 / 01期
基金：
中国国家自然科学基金;
关键词：
time-fractional generalized Rosenau-RLW-Burgers equation; mixed finite element method; generalized BDF2-theta; stability; correction term; weak singularity; DIFFERENCE-SCHEMES; DIFFUSION; APPROXIMATION; STABILITY;
D O I：
10.3934/math.2025080
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the time-fractional generalized Rosenau-RLW-Burgers equation is numerically solved, where the generalized BDF2-theta is used to discretize the temporal direction, and the mixed finite element method is applied to the spatial direction. The stability of the fully discrete scheme is proven. Finally, the effectiveness of the numerical scheme is verified through some numerical examples, and the singularity of nonsmooth solutions in the initial time layer is effectively resolved by adding the correction term.
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页码：1757 / 1778
页数：22
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