A note on high order schemes for the one dimensional wave equation

1995 ◽  
Vol 35 (3) ◽  
pp. 394-405 ◽  
Author(s):  
Jukka Tuomela
Keyword(s):  
Wave Equation ◽  
High Order ◽  
One Dimensional ◽  
High Order Schemes ◽  
The One ◽  
Dimensional Wave

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

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

scholarly journals Сlassical solution of the mixed problem for the one-dimensional wave equation with the nonsmooth second initial condition

2020 ◽  
Vol 64 (6) ◽  
pp. 657-662
Author(s):  
V. I. Korzyuk ◽  
J. V. Rudzko
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Mixed Problem ◽  
Method Of Characteristics ◽  
Smooth Boundary ◽  
Analytical Form ◽  
Initial Condition ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave

In this article, we study the classical solution of the mixed problem in a quarter of a plane and a half-plane for a one-dimensional wave equation. On the bottom of the boundary, Cauchy conditions are specified, and the second of them has a discontinuity of the first kind at one point. Smooth boundary condition is set at the side boundary. The solution is built using the method of characteristics in an explicit analytical form. Uniqueness is proved and conditions are established under which a piecewise-smooth solution exists. The problem with linking conditions is considered.

Group analysis of the one dimensional wave equation with delay

2020 ◽  
Vol 378 ◽  
pp. 125193 ◽  
Author(s):  
Jervin Zen Lobo ◽  
Y.S. Valaulikar
Keyword(s):  
Wave Equation ◽  
Group Analysis ◽  
One Dimensional ◽  
The One ◽  
Equation With Delay ◽  
Dimensional Wave

Disk polynomials and the one-dimensional wave equation

2019 ◽  
Vol 244 ◽  
pp. 37-56 ◽  
Author(s):  
Peter C. Gibson
Keyword(s):  
Wave Equation ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave

An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the One-Dimensional Wave Equation

2005 ◽  
Vol 43 (2) ◽  
pp. 825-859 ◽  
Author(s):  
Patrick Joly ◽  
Jerónimo Rodriguez
Keyword(s):  
Wave Equation ◽  
Error Analysis ◽  
Mesh Refinement ◽  
Space Time ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave

scholarly journals Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary

2014 ◽  
Vol 48 (4) ◽  
pp. 1147-1169 ◽  
Author(s):  
Farshid Dabaghi ◽  
Adrien Petrov ◽  
Jérôme Pousin ◽  
Yves Renard
Keyword(s):  
Wave Equation ◽  
Unilateral Constraint ◽  
One Dimensional ◽  
Mass Redistribution ◽  
The One ◽  
Dimensional Wave

scholarly journals Optimal location of controllers for the one-dimensional wave equation

2013 ◽  
Vol 30 (6) ◽  
pp. 1097-1126 ◽  
Author(s):  
Yannick Privat ◽  
Emmanuel Trélat ◽  
Enrique Zuazua
Keyword(s):  
Wave Equation ◽  
Optimal Location ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave
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