A Group Preserving Scheme for Burgers Equation with Very Large Reynolds Number

DOI10.3970/CMES.2006.012.197zbMath1232.76012OpenAlexW2246762919MaRDI QIDQ3117519

Chein-Shan Liu

Publication date: 27 February 2012

Full work available at URL: https://www.techscience.com/doi/10.3970/cmes.2006.012.197.html

zbMATH Keywords

Burgers equationLie algebraLorentz groupgroup preserving schemespatial rescale

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (8)

New solutions of hyperbolic telegraph equation ⋮ The method of lines for parabolic integro-differential equations ⋮ Numerical approximations and conservation laws for the sine-Gordon equation ⋮ A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations ⋮ A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation ⋮ The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems ⋮ A simple spatial integration scheme for solving Cauchy problems of non-linear evolution equations ⋮ An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations

This page was built for publication: A Group Preserving Scheme for Burgers Equation with Very Large Reynolds Number