Grid-Characteristic Difference Scheme for Solving the Hopf Equation Based on Two Different Divergent Forms

DOI10.14529/mmp230209OpenAlexW4388951683MaRDI QIDQ6056860

Unnamed Author, Alexey I. Lobanov

Publication date: 4 October 2023

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru688

zbMATH Keywords

discontinuous solutionHopf equationdivergent formLax-Wendroff schemeundefined coefficients

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical analysis (65-XX)

Cites Work

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• New generation algorithms for computational fluid dynamics
• Bicompact schemes for an inhomogeneous linear transport equation
• Monotonic bicompact schemes for linear transport equations
• The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations
• Monotonicity criteria for difference schemes designed for hyperbolic equations

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