Efficient third-order BDF finite difference scheme for the generalized viscous Burgers' equation

DOI10.1016/j.aml.2023.108570zbMath1517.65070OpenAlexW4313531237MaRDI QIDQ6101818

Da Xu, Tao Guo, Wenlin Qiu

Publication date: 20 June 2023

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108570

zbMATH Keywords

numerical examplefinite difference schemeBDF3 methodconvergence and boundednessgeneralized viscous Burgers' equations

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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations ⋮ Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation ⋮ Application of the B-Spline Galerkin approach for approximating the time-fractional Burger's equation

Cites Work

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• Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation
• Shock Layer Movement for Burgers’ equation
• Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations

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