The study of exact and numerical solutions of the generalized viscous Burgers' equation

DOI10.1016/j.aml.2020.106719zbMath1453.65240OpenAlexW3082092122MaRDI QIDQ2213699

Qifeng Zhang, Yifan Qin, Xuping Wang, Zhi-zhong Sun

Publication date: 3 December 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106719

zbMATH Keywords

convergencedifference schemescut-off function methodgeneralized viscous Burgers' equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to abstract evolution equations (65J08)

Related Items (6)

Finite‐parameter feedback stabilization of original Burgers' equations and Burgers' equation with nonlocal nonlinearities ⋮ Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations ⋮ Efficient third-order BDF finite difference scheme for the generalized viscous Burgers' equation ⋮ Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation ⋮ Unnamed Item ⋮ \(L1\)-multiscale Galerkin's scheme with multilevel augmentation algorithm for solving time fractional Burgers' equation

Cites Work

• Unnamed Item
• A three level linearized compact difference scheme for the Cahn-Hilliard equation
• Approximation and prediction of the numerical solution of some Burgers problems
• On the generalized Burgers equation
• A remark on exponential stability of time-delayed Burgers equation
• Exact solutions and numerical study of time fractional Burgers' equations
• Generalized Burgers equation for plane waves
• Long-time behaviour of solution for rosenau-burgers equation(II)
• Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation
• Shock Layer Movement for Burgers’ equation

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