A numerical solution of Burgers' equation

DOI10.1016/j.amc.2003.07.027zbMath1061.65085OpenAlexW1986777371MaRDI QIDQ1888557

E. N. Aksan, A. Özdeş

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.07.027

zbMATH Keywords

Galerkin methodnumerical resultsBurgers' equationsemidiscretizationvariational methoddiscretization in time

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• The group explicit method for the solution of Burger's equation
• A finite element approach for solution of Burgers' equation
• A direct variational method applied to Burgers' equation
• Space‐time finite elements incorporating characteristics for the burgers' equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
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