A characteristic based numerical method with tracking for nonlinear wave equations

DOI10.1016/0898-1221(96)00019-3zbMath0849.65071OpenAlexW2046153685MaRDI QIDQ1912861

Yanyan Li

Publication date: 3 November 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00019-3

zbMATH Keywords

porous mediumRunge-Kutta methodshock wavesrarefaction wavesnonlinear wave equationsliquid filmsmethods of characteristics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Flows in porous media; filtration; seepage (76S05) First-order nonlinear hyperbolic equations (35L60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (4)

Self-similar solutions of a generalized Burgers equation with nonlinear damping. ⋮ An exact particle method for scalar conservation laws and its application to stiff reaction kinetics ⋮ Wave motion in relaxation-testing of nonlinear elastic media ⋮ Large-time behaviour of solutions of the inviscid non-planar Burgers equation

Cites Work

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