A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes

DOI10.1016/J.AML.2020.106949zbMath1466.65088arXiv2012.01000OpenAlexW3112759594MaRDI QIDQ1996351

Alexander Zlotnik, Raimondas Čiegis

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01000

zbMATH Keywords

stabilitywave equationnon-uniform meshcompact higher-order finite-difference scheme

Mathematics Subject Classification ID

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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations ⋮ On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation ⋮ Spectral stability conditions for an explicit three-level finite-difference scheme for a multidimensional transport equation with perturbations ⋮ ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION

Cites Work

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• The Numerov-Crank-Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis
• Variable mesh methods for the numerical solution of two-point singular perturbation problems
• High order compact finite difference schemes on nonuniform grids
• A ``converse stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation
• Compact high order accurate schemes for the three dimensional wave equation
• A compact high order alternating direction implicit method for three-dimensional acoustic wave equation with variable coefficient

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