A lumped Galerkin method for solving the Burgers equation

DOI10.1080/00207160412331286833zbMath1063.65105OpenAlexW2070812435MaRDI QIDQ4652875

Alaattin Esen, Selcuk Kutluay

Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331286833

zbMATH Keywords

stabilitycomparison of methodsfinite elementsnumerical examplesBurgers equationquadratic B-splineslumped Galerkin method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• A finite element approach to Burgers' equation
• Numerical solution of Burger's equation
• The partial differential equation u_t + uu_x = μ_xx

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