Finite differences method for shallow water equations in a class of discontinuous functions

DOI10.1016/j.amc.2003.08.131zbMath1059.76049OpenAlexW1998780872WikidataQ57552012 ScholiaQ57552012MaRDI QIDQ706762

Zafer Aslan, Ozkan Pakdil, Mahir A. Rasulov

Publication date: 9 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.131

zbMATH Keywords

initial-boundary value problemshock wavesnonlinear wave propagation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (1)

Two layer shallow water equations for wave attenuation of a submerged porous breakwater

Cites Work

• An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions
• Finite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions.
• Nonlinear partial differential equations in engineering. Vol. II
• Hyperbolic systems of conservation laws II
• Composite Schemes for Conservation Laws
• Nonlinear shallow fluid flow over an isolated ridge
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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