Comparison of Finite Difference Schemes for the Wave Equation Based on Dispersion

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2015.311179 ◽

2015 ◽

Vol 03 (11) ◽

pp. 1544-1562 ◽

Author(s):

Yahya Ali Abdulkadir

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes

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Optimal staggered-grid finite-difference schemes by combining Taylor-series expansion and sampling approximation for wave equation modeling

Journal of Computational Physics ◽

10.1016/j.jcp.2016.09.019 ◽

2016 ◽

Vol 326 ◽

pp. 913-930 ◽

Author(s):

Hongyong Yan ◽

Lei Yang ◽

Xiang-Yang Li

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Difference Schemes ◽

Staggered Grid ◽

Equation Modeling ◽

Finite Difference Schemes

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The conservative and fourth-order compact finite difference schemes for regularized long wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.036 ◽

2019 ◽

Vol 356 ◽

pp. 98-117 ◽

Author(s):

Bo Wang ◽

Tongjun Sun ◽

Dong Liang

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Fourth Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Long Wave ◽

Regularized Long Wave Equation ◽

Compact Finite Difference Schemes

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Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142993246445 ◽

1996 ◽

Vol 33 (4) ◽

pp. 1266-1302 ◽

Author(s):

Gary Cohen ◽

Patrick Joly

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Acoustic Wave ◽

Fourth Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Acoustic Wave Equation ◽

Nonhomogeneous Media

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Optimal staggered-grid finite-difference schemes based on least-squares for wave equation modelling

Geophysical Journal International ◽

10.1093/gji/ggu032 ◽

2014 ◽

Vol 197 (2) ◽

pp. 1033-1047 ◽

Author(s):

Yang Liu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Least Squares ◽

Difference Schemes ◽

Staggered Grid ◽

Finite Difference Schemes ◽

Equation Modelling

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Exact finite difference schemes for the wave equation with spherical symmetry

The Journal of Difference Equations and Applications ◽

10.1080/10236199608808061 ◽

1996 ◽

Vol 2 (3) ◽

pp. 263-269 ◽

Author(s):

R. E. Mickens

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Spherical Symmetry ◽

Difference Schemes ◽

Finite Difference Schemes

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Hexagonal vs. rectilinear grids for explicit finite difference schemes for the two-dimensional wave equation

10.1121/1.4800308 ◽

2013 ◽

Author(s):

Brian Hamilton ◽

Stefan Bilbao

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Explicit Finite Difference ◽

Dimensional Wave

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Implementation of Finite Difference Schemes for the Wave Equation on FPGA

Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005. ◽

10.1109/icassp.2005.1415690 ◽

2006 ◽

Author(s):

H.E. Motuk ◽

R. Woods ◽

S. Bilbao

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes

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Optimised 25-point finite difference schemes for the three-dimensional wave equation

10.1121/2.0000455 ◽

2016 ◽

Author(s):

Brian Hamilton ◽

Stefan Bilbao

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Three Dimensional ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Dimensional Wave

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Finite-difference schemes for nonlinear wave equation that inherit energy conservation property

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00527-6 ◽

2001 ◽

Vol 134 (1-2) ◽

pp. 37-57 ◽

Author(s):

Daisuke Furihata

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Energy Conservation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Conservation Property

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Two finite difference schemes for time fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-012-9689-0 ◽

2013 ◽

Vol 64 (4) ◽

pp. 707-720 ◽

Author(s):

Jianfei Huang ◽

Yifa Tang ◽

Luis Vázquez ◽

Jiye Yang

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Fractional Diffusion ◽

Difference Schemes ◽

Finite Difference Schemes ◽

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