A nonstandard finite difference scheme for a nonlinear PDE having diffusive shock wave solutions

DOI10.1016/S0378-4754(00)00309-8zbMath0982.65095WikidataQ127673444 ScholiaQ127673444MaRDI QIDQ5937545

Ronald E. Mickens

Publication date: 14 October 2001

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

zbMATH Keywords

nonlinear wavesfinite difference schemeBoltzmann problemnonlinear diffusion processesshock wave type solutions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

Nonstandard finite difference schemes for a class of generalized convection–diffusion–reaction equations ⋮ Unnamed Item ⋮ On the use of nonstandard finite difference methods†

Cites Work

• Similarity methods for differential equations
• DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT
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