Traveling-wave solutions for a discrete Burgers equation with nonlinear diffusion

DOI10.1016/j.matcom.2009.08.030zbMath1182.65138OpenAlexW2074691908MaRDI QIDQ2655836

Ronald E. Mickens

Publication date: 26 January 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.08.030

zbMATH Keywords

Burgers equationfinite differencedynamic consistencynonstandard finite difference schemestraveling-wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (2)

Bright soliton solution to a generalized Burgers-KdV equation with time-dependent coefficients ⋮ Nonstandard finite difference methods: recent trends and further developments

Cites Work

• Calculation of oscillatory properties of the solutions of two coupled, first order non-linear ordinary differential equations
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
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