Several new types of finite-difference schemes for shallow-water equation with initial-boundary value and their numerical experiment

DOI10.1007/BF02014622zbMath0728.76073MaRDI QIDQ805427

Yingzhong Liu, Gang Zhou, Qiuqiang Lü

Publication date: 1989

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

iterative algorithminitial-boundary value problemshallow water equationfinite-difference methodsdiagonal matrixeffective two-step predictor-corrector methodmulti- grid procedure

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 (2)

Boundary integral method applied to the propagation of non-linear gravity waves generated by a moving bottom ⋮ Boundary integral method applied to the transient, nonlinear wave propagation in a fluid with initial free surface elevation

Cites Work

• The Korteweg-de Vries-Burgers equation
• A Hopscotch method for the Korteweg-de-Vries equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Solitary waves induced by boundary motion
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