Analysis of an implicit finite-difference scheme for a third-order partial differential equation in three dimensions

DOI10.1016/0898-1221(85)90182-8zbMath0576.76075OpenAlexW2149244607WikidataQ115362935 ScholiaQ115362935MaRDI QIDQ1064930

Donald F. St. Mary

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90182-8

zbMATH Keywords

Helmholtz equationstability propertiesimplicit finite-difference schemeconsistent, second order accurate schemepropagation of sound underwaterthird-order partial differential equation in three dimensions

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

Related Items (1)

Difference schemes for the parabolic wave equation in ocean acoustics

Cites Work

• Unnamed Item
• Analysis of an implicit finite difference solution to an underwater wave propagation problem
• A mathematical model for the 3-dimensional ocean sound propagation
• Acoustic propagation in random oceans using the radiation transport equation

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