Fourier spectral approximation for generalized time fractional Burgers equation

被引：0
作者：
Li Chen
Shujuan Lü
机构：
[1] Beihang University,School of Mathematical Sciences
来源：
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词：
Generalized time fractional Burgers equation; Fourier spectral method; Boundedness; Convergence; 35R11; 65M12; 65M70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a linearized fully discrete scheme is presented to solve the generalized time fractional Burgers equation. The proposed method is on the basis of finite difference method in time and Fourier spectral approximation in space. Based on a temporal-spatial error splitting argument, the boundedness of the solution and convergence of the numerical scheme are proved rigorously without the time step size condition dependent on the spatial mesh size. Numerical examples are given to illustrate the theoretical results.
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页码：3979 / 3997
页数：18
相关论文
共 63 条
[11]  
Zhao ZG(1915)Some recent researches on the motion of fluids Mon. Weather Rev. 43 163-653
[12]  
Chen YQ(1991)Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves J. Fluid Mech. 225 631-6
[13]  
Liu Q(2011)Fractional-calculus model for temperature and pressure waves in fluid-saturated porous rocks Phys. Rev. E 84 1-736
[14]  
Liu F(2013)Numerical solutions and analysis of diffusion for new generalized fractional Burgers equation Fract. Calc. Appl. Anal. 16 709-480
[15]  
Turner I(2018)Analysis of a numerical method for the solution of time fractional Burgers equation Bull. Iran. Math. Soc. 44 457-314
[16]  
Anh V(2019)An implicit difference scheme and algorithm implementation for the one dimensional time fractional Burgers equations Math. Comput. Simulat. 166 298-11
[17]  
Jin BT(2020)Numerical approximation of time-fractional Burgers-type equation Adv. Differ. Equ. 182 1-275
[18]  
Lazarov R(2020)A weak Galerkin finite element method for solving time-fractional coupled Burgers’ equations in two dimensions Appl. Numer. Math. 156 265-6081
[19]  
Zhou Z(2016)A linear finite difference scheme for generalized time fractional Burgers equation Appl. Math. Model. 40 6069-792
[20]  
Lin YM(2018)Efficient numerical schemes for the solution of generalized time fractional Burgers type equations Numer. Algor. 77 763-A3088
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