On a finite difference scheme for Burgers' equation

DOI10.1016/j.amc.2009.08.018zbMath1178.65103OpenAlexW1998577437MaRDI QIDQ1039689

J. Blot

Publication date: 23 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.018

zbMATH Keywords

stabilityheat equationnumerical exampleserror boundsBurgers' equationHopf-Cole transformationDouglas finite difference scheme

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)

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Cites Work

• Unnamed Item
• A numerical method based on Crank-Nicolson scheme for Burgers' equation
• The group explicit method for the solution of Burger's equation
• Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
• Numerical solution of periodic Burgers equation
• Numerical solution of Burger's equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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