Numerical experiments with a nonlinear evolution equation which exhibits blow-up

DOI10.1016/0168-9274(92)90036-DzbMath0763.65081OpenAlexW1971992070MaRDI QIDQ1196761

Kris Stewart, Tunc Geveci

Publication date: 16 January 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90036-d

zbMATH Keywords

pseudospectral methodnumerical experimentsblow-upnonlinear evolution equationvorticity model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Blowup in diffusion equations: A survey ⋮ Blow-up in a modified Constantin-Lax-Majda model for the vorticity equation

Uses Software

• FFTPACK

Cites Work

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• Fully discrete galerkin methods for the korteweg-de vries equation
• Stability and instability of solitary waves of Korteweg-de Vries type
• A numerical and theoretical study of certain nonlinear wave phenomena
• The Exponential Accuracy of Fourier and Chebyshev Differencing Methods
• A simple one‐dimensional model for the three‐dimensional vorticity equation