The controllability for the internally controlled 1-D wave equation via a finite difference method

Juntao Li; Yuhan Zheng; Guojie Zheng

doi:10.1186/s13662-016-1028-7

The controllability for the internally controlled 1-D wave equation via a finite difference method

Advances in Difference Equations ◽

10.1186/s13662-016-1028-7 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Juntao Li ◽

Yuhan Zheng ◽

Guojie Zheng

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

D Wave

Convergence of the Finite-Difference Method for the 1—d Wave Equation with Homogeneous Dirichlet Boundary Conditions

Numerical Approximation of Exact Controls for Waves - SpringerBriefs in Mathematics ◽

10.1007/978-1-4614-5808-1_3 ◽

2013 ◽

pp. 59-78

Author(s):

Sylvain Ervedoza ◽

Enrique Zuazua

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

The Finite Difference Method ◽

Homogeneous Dirichlet Boundary Conditions ◽

D Wave

Fourth Order Compact Finite Difference Method for Solving One Dimensional Wave Equation

International Journal Of Engineering & Applied Sciences ◽

10.24107/ijeas.281431 ◽

2016 ◽

Vol 8 (4) ◽

pp. 30-30

Author(s):

Gemechis File Duressa ◽

Tesfaye Aga Bullo ◽

Gashu Gadisa Kiltu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Fourth Order ◽

Difference Method ◽

Compact Finite Difference ◽

One Dimensional ◽

Compact Finite Difference Method ◽

Dimensional Wave

Modelling visco-acoustic wave equation in frequency domain using mixed-grid Finite-Difference method and attenuation-dispersion model defined for quality factor

10.22564/7simbgf2016.043 ◽

2016 ◽

Author(s):

S. K. Avendaño ◽

M. A. Ospina ◽

J. C. Muñoz-Cuartas ◽

H. Montegranario

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Acoustic Wave ◽

Frequency Domain ◽

Quality Factor ◽

Difference Method ◽

Dispersion Model ◽

Acoustic Wave Equation

Finite Difference Method for Solving the Acoustic Wave Equation with Velocity and Density Variant Media

Reflection Seismology ◽

10.1016/b978-0-12-409538-0.15001-8 ◽

2014 ◽

pp. 215-243

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Acoustic Wave ◽

Difference Method ◽

Acoustic Wave Equation

Solution of 2-D Wave Reverse-Time Propagation Problem by the Finite Element-Finite Difference Method (FE-FDM)

Theoretical and Computational Acoustics 2001 ◽

10.1142/9789812777362_0062 ◽

2002 ◽

pp. 593-600

Author(s):

Yuan Dong ◽

Huizhu Yang ◽

Lizhen Gu

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Propagation Problem ◽

Reverse Time ◽

Time Propagation ◽

D Wave

Direct solution of the acoustic wave equation in underwater environments with attenuation using the finite difference method

The Journal of the Acoustical Society of America ◽

10.1121/1.410675 ◽

1994 ◽

Vol 96 (5) ◽

pp. 3344-3344

Author(s):

R. A. Zingarelli

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Acoustic Wave ◽

Difference Method ◽

Direct Solution ◽

Acoustic Wave Equation ◽

The Finite Difference Method

A block-centered finite difference method for the distributed-order time-fractional diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.04.013 ◽

2018 ◽

Vol 131 ◽

pp. 123-139 ◽

Cited By ~ 2

Author(s):

Xiaoli Li ◽

Hongxing Rui

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Distributed Order

A semi-discrete finite difference method to uniform stabilization of wave equation with local viscosity

IFAC Journal of Systems and Control ◽

10.1016/j.ifacsc.2020.100100 ◽

2020 ◽

Vol 13 ◽

pp. 100100

Author(s):

Bao-Zhu Guo ◽

Bin-Bin Xu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Uniform Stabilization

A new time–space domain high-order finite-difference method for the acoustic wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2009.08.027 ◽

2009 ◽

Vol 228 (23) ◽

pp. 8779-8806 ◽

Cited By ~ 123

Author(s):

Yang Liu ◽

Mrinal K. Sen

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Acoustic Wave ◽

Difference Method ◽

High Order ◽

Acoustic Wave Equation ◽

Space Domain ◽

Time Space ◽

High Order Finite Difference

A New Compact Finite Difference Method for Solving the Generalized Long Wave Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.830128 ◽

2013 ◽

Vol 35 (2) ◽

pp. 133-152 ◽

Cited By ~ 10

Author(s):

Rahman Akbari ◽

Reza Mokhtari

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Long Wave