A preliminary study of the Burgers equation with symbolic computation

DOI10.1006/jcph.2000.6533zbMath0979.76060OpenAlexW2018995311MaRDI QIDQ1577035

Russell G. Derickson, Roger A. sen. Pielke

Publication date: 21 February 2002

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6533

zbMATH Keywords

approximate analytic solutionBurgers equationrecursive symbolic computation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Incompressible viscous fluids (76D99) Direct numerical and large eddy simulation of turbulence (76F65)

Related Items

Asymptotic solution for a kind of boundary layer problem ⋮ Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems

Uses Software

• Maple

Cites Work

• Perturbative solutions of quantum mechanical problems by symbolic computation
• Quantitative universality for a class of nonlinear transformations
• On the decay of Burgers turbulence
• PDFs for velocity and velocity gradients in Burgers’ turbulence
• Steady-state Burgers turbulence with large-scale forcing
• Simulations of a randomly advected passive scalar field
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
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