Geodesic
On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 145-151

Voir la notice de l'article provenant de la source Math-Net.Ru

The method of analytical solution of wave equation with the conditions, assigned on the moving boundaries, is described. With the aid of the change of variables in the system of functional equations the original boundary-value problem is brought to the system of difference equations with one fixed bias, which can be solved using the Laplace integral transform. The expression for amplitude of oscillation corresponding to $n$-th dynamic mode is obtained for the first kind boundary conditions. This method makes it possible to examine the broader class of boundary conditions in comparison with other exact methods of solving the boundary-value problems with the moving boundaries.
Keywords: wave equation, variations of systems with moving boundaries, laws of boundary moving
Mots-clés : amplitude of oscillation. 
@article{VSGTU_2012_3_a13,
     author = {V. N. Anisimov and V. L. Litvinov and I. V. Korpen},
     title = {On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {145--151},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a13/}
}
TY  - JOUR
AU  - V. N. Anisimov
AU  - V. L. Litvinov
AU  - I. V. Korpen
TI  - On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2012
SP  - 145
EP  - 151
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a13/
LA  - ru
ID  - VSGTU_2012_3_a13
ER  - 
%0 Journal Article
%A V. N. Anisimov
%A V. L. Litvinov
%A I. V. Korpen
%T On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2012
%P 145-151
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a13/
%G ru
%F VSGTU_2012_3_a13
V. N. Anisimov; V. L. Litvinov; I. V. Korpen. On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 145-151. http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a13/