An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound
From MaRDI portal
Publication:6101981
DOI10.1080/00207160.2022.2118524zbMath1524.35345OpenAlexW4293724469WikidataQ113852478 ScholiaQ113852478MaRDI QIDQ6101981
Publication date: 20 June 2023
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2022.2118524
Wave equation (35L05) 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)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Maximum norm error estimates of efficient difference schemes for second-order wave equations
- A new high accuracy locally one-dimensional scheme for the wave equation
- A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation
- Finite difference time domain dispersion reduction schemes
- High-order schemes for acoustic waveform simulation
- A new time-space domain high-order finite-difference method for the acoustic wave equation
- Compact finite difference schemes with spectral-like resolution
- The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
- A new central compact finite difference scheme with high spectral resolution for acoustic wave equation
- A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation
- An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation
- A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system
- A compact high order alternating direction implicit method for three-dimensional acoustic wave equation with variable coefficient
- The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations
- On the exchange of energy in coupled Klein --- Gordon equations
- Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media
- On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation
- Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
- A two-level compact ADI method for solving second-order wave equations
- Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
- Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
- Local one-dimensional difference schemes for multi-dimensional hyperbolic equations in an arbitrary region
- Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method