Finite-difference method for the stabilization of the solution of the transport equation for an unstable difference scheme

DOI10.1134/S0012266116070132zbMath1359.65159OpenAlexW2519295653WikidataQ115251249 ScholiaQ115251249MaRDI QIDQ337868

I. V. Popov

Publication date: 3 November 2016

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116070132

zbMATH Keywords

monotonicitystabilityconvergencenumerical examplesfinite difference schemesinitial boundary value problemexplicit schemeadaptive artificial viscosity schemeone-dimensional linear transport equationthree-layer scheme

Mathematics Subject Classification ID

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-boundary value problems for first-order hyperbolic equations (35L04)

Cites Work

• The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations
• Symmetric hyperbolic linear differential equations
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