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.
引用
收藏
页码：1757 / 1778
页数：22
相关论文
共 50 条
  • [21] A Second-Order Scheme for the Generalized Time-Fractional Burgers' Equation
    Chawla, Reetika
    Kumar, Devendra
    Singh, Satpal
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2024, 19 (01):
  • [22] A HIGHER-ORDER APPROACH FOR TIME-FRACTIONAL GENERALIZED BURGERS' EQUATION
    Taneja, Komal
    Deswal, Komal
    Kumar, Devendra
    Baleanu, Dumitru
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023,
  • [23] A new mixed finite element method for burgers' equation
    Pany, Ambit Kumar
    Nataraj, Neela
    Singh, Sangita
    Journal of Applied Mathematics and Computing, 2007, 23 (1-2) : 43 - 55
  • [24] Mixed finite element methods for the Rosenau equation
    Noureddine Atouani
    Yousra Ouali
    Khaled Omrani
    Journal of Applied Mathematics and Computing, 2018, 57 : 393 - 420
  • [25] A conservative weighted finite difference scheme for the generalized Rosenau-RLW equation
    Wang, Huan
    Li, Shuguang
    Wang, Jue
    COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36 (01): : 63 - 78
  • [26] Mixed finite element methods for the Rosenau equation
    Atouani, Noureddine
    Ouali, Yousra
    Omrani, Khaled
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 57 (1-2) : 393 - 420
  • [27] A new conservative finite difference scheme for the generalized Rosenau–KdV–RLW equation
    Xiaofeng Wang
    Weizhong Dai
    Computational and Applied Mathematics, 2020, 39
  • [28] A conservative weighted finite difference scheme for the generalized Rosenau-RLW equation
    Huan Wang
    Shuguang Li
    Jue Wang
    Computational and Applied Mathematics, 2017, 36 : 63 - 78
  • [29] Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation
    Shi, Dongyang
    Jia, Xu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 98 : 169 - 180
  • [30] Numerical Approaches of the Generalized Time-Fractional Burgers' Equation with Time-Variable Coefficients
    Vieru, Dumitru
    Fetecau, Constantin
    Shah, Nehad Ali
    Chung, Jae Dong
    JOURNAL OF FUNCTION SPACES, 2021, 2021
12345