Cone-grid scheme for solving hyperbolic systems of conservation laws and one application

DOI10.1007/S40314-017-0527-9zbMath1435.65151OpenAlexW2765865313MaRDI QIDQ1993628

Mahmoud A. E. Abdelrahman

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-017-0527-9

zbMATH Keywords

initial value problems\(L^1\)-stabilityhyperbolic conservation lawsshock wavescone-grid schemeheat-conduction modelrarefaction waves (fans)

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (3)

New solutions for the unstable nonlinear Schrödinger equation arising in natural science ⋮ The effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation ⋮ Simulating the dusty gas flow model via NHRS scheme

Cites Work

• A new front tracking scheme for the ultra-relativistic Euler equations
• Entropy and causality as criteria for the existence of shock waves in low temperature heat conduction
• Initial and boundary value problems of hyperbolic heat conduction
• Kinetic flux-vector splitting schemes for the hyperbolic heat conduction
• Unnamed Item

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