A boundary value problem for nonlinear telegraph equation

1981 ◽  
Vol 5 (7) ◽  
pp. 705-711 ◽  
Author(s):  
Guang-Chang Dong ◽  
Shujie Li
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Telegraph Equation ◽  
Nonlinear Telegraph Equation

scholarly journals Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
V. A. Ostapenko
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Telegraph Equation ◽  
Initial Boundary Value ◽  
The Waves

Mixed initial-boundary value problem for telegraph equation in domain with variable borders is considered. On one part of domain’s border are the boundary conditions of the first type, on other part of the boundary are set boundary conditions of the second type. Besides, the sizes of area are variable. The solution of such problem demands development of special methods. With the help of consecutive application of procedure of construction waves reflected from borders of domain, it is possible to obtain the solution of this problem in quadratures. In addition, for construction of the waves reflected from mobile border, it is necessary to apply the procedure specially developed for these purposes.

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