Exact Difference Schemes for Hyperbolic Equations

DOI10.2478/cmam-2007-0021zbMath1130.65088OpenAlexW2085143943MaRDI QIDQ5436354

A. Kolodyńska, Piotr P. Matus

Publication date: 15 January 2008

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2007-0021

zbMATH Keywords

algorithmstabilityCauchy problemnumerical exampleshyperbolic equationquasi-linear wave equationinitial boundary-value problemexact difference schemenonlinear gas dynamic system

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) First-order nonlinear hyperbolic equations (35L60) 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) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

On the computation for blow-up solutions of the nonlinear wave equation ⋮ Stability for the finite difference schemes of the linear wave equation with nonuniform time meshes ⋮ Exact difference schemes for a two-dimensional convection-diffusion-reaction equation ⋮ Compact difference schemes for the multidimensional Klein-Gordon equation

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