On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation

DOI10.1016/j.cam.2013.08.024zbMath1321.65134OpenAlexW2071089713MaRDI QIDQ2517478

Wenyuan Liao

Publication date: 26 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.08.024

zbMATH Keywords

numerical examplePadé approximationerror analysisCourant-Friedrichs-Lewy conditionfinite differenceacoustic wave equationnumerical dispersionalternative direction implicit technique

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

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• A modification of cagniard’s method for solving seismic pulse problems
• A Modified Equation Approach to Constructing Fourth Order Methods for Acoustic Wave Propagation
• Alternating Direction Methods for Hyperbolic Differential Equations
• Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
• A High Accuracy Alternating Direction Method for the Wave Equation

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