Lax-Wendroff Difference Scheme with Richardson Extrapolation Method for One Dimensional Wave Equation Subjected To Integral Condition

Kedir Aliyi Koroche

doi:10.26577/ijmph.2021.v12.i2.02

Lax-Wendroff Difference Scheme with Richardson Extrapolation Method for One Dimensional Wave Equation Subjected To Integral Condition

International Journal of Mathematics and Physics ◽

10.26577/ijmph.2021.v12.i2.02 ◽

2021 ◽

Vol 12 (2) ◽

Author(s):

Kedir Aliyi Koroche

Keyword(s):

Wave Equation ◽

Difference Scheme ◽

Integral Condition ◽

Richardson Extrapolation ◽

Extrapolation Method ◽

One Dimensional ◽

Richardson Extrapolation Method ◽

Dimensional Wave

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A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions

Numerical Algorithms ◽

10.1007/s11075-009-9293-0 ◽

2009 ◽

Vol 52 (3) ◽

pp. 461-477 ◽

Cited By ~ 51

Author(s):

Mehdi Dehghan ◽

Ali Shokri

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Integral Condition ◽

Basis Functions ◽

One Dimensional ◽

Radial Basis ◽

The One ◽

Dimensional Wave

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A New Semidiscretized Order Reduction Finite Difference Scheme for Uniform Approximation of One-Dimensional Wave Equation

SIAM Journal on Control and Optimization ◽

10.1137/19m1246535 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2256-2287

Author(s):

Jiankang Liu ◽

Bao-Zhu Guo

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Uniform Approximation ◽

Finite Difference Scheme ◽

Order Reduction ◽

One Dimensional ◽

Dimensional Wave

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Classical solution of a problem with an integral condition for the one-dimensional wave equation

Differential Equations ◽

10.1134/s0012266114100103 ◽

2014 ◽

Vol 50 (10) ◽

pp. 1364-1377 ◽

Cited By ~ 5

Author(s):

E. I. Moiseev ◽

V. I. Korzyuk ◽

I. S. Kozlovskaya

Keyword(s):

Wave Equation ◽

Classical Solution ◽

Integral Condition ◽

One Dimensional ◽

The One ◽

Dimensional Wave

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A nine-point finite difference scheme for one-dimensional wave equation

10.1063/1.4992761 ◽

2017 ◽

Author(s):

Barbara Szyszka

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

One Dimensional ◽

Dimensional Wave

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Numerical solution of the one-dimensional wave equation with an integral condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20177 ◽

2007 ◽

Vol 23 (2) ◽

pp. 282-292 ◽

Cited By ~ 43

Author(s):

Abbas Saadatmandi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Integral Condition ◽

One Dimensional ◽

The One ◽

Dimensional Wave

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Asymptotic Solutions of the Cauchy Problem with Localized Initial Data for a Finite-Difference Scheme Corresponding to the One-Dimensional Wave Equation

Mathematical Notes ◽

10.1134/s0001434619110130 ◽

2019 ◽

Vol 106 (5-6) ◽

pp. 800-813

Author(s):

S. A. Sergeev

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Finite Difference ◽

Initial Data ◽

Difference Scheme ◽

One Dimensional ◽

The Cauchy Problem ◽

The One ◽

Localized Initial Data ◽

Dimensional Wave

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Thermally corrected solutions of the one-dimensional wave equation for the laser-induced ultrasound

Journal of Applied Physics ◽

10.1063/5.0050895 ◽

2021 ◽

Vol 130 (2) ◽

pp. 025104

Author(s):

Misael Ruiz-Veloz ◽

Geminiano Martínez-Ponce ◽

Rafael I. Fernández-Ayala ◽

Rigoberto Castro-Beltrán ◽

Luis Polo-Parada ◽

...

Keyword(s):

Wave Equation ◽

One Dimensional ◽

The One ◽

Dimensional Wave

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Exact controllability for a one-dimensional wave equation in non-cylindrical domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.01.062 ◽

2013 ◽

Vol 402 (2) ◽

pp. 612-625 ◽

Cited By ~ 21

Author(s):

Lizhi Cui ◽

Xu Liu ◽

Hang Gao

Keyword(s):

Wave Equation ◽

Exact Controllability ◽

One Dimensional ◽

Cylindrical Domains ◽

Dimensional Wave

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Stabilization of One-Dimensional Wave Equation With Nonlinear Boundary Condition Subject to Boundary Control Matched Disturbance

IEEE Transactions on Automatic Control ◽

10.1109/tac.2018.2874746 ◽

2019 ◽

Vol 64 (7) ◽

pp. 3068-3073 ◽

Cited By ~ 8

Author(s):

Jun-Jun Liu ◽

Jun-Min Wang

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Boundary Control ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional ◽

Dimensional Wave

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One-Dimensional Wave Equation

Partial Differential Equations ◽

10.1142/9789814503969_0003 ◽

1999 ◽

pp. 65-98

Keyword(s):

Wave Equation ◽

One Dimensional ◽

Dimensional Wave

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