Title :
Retarded potentials and Laguerre transform for initial-boundary value problems for the wave equation
Author :
Svyatoslav Litynskyy;Anatoliy Muzychuk
Author_Institution :
Ivan Franko National University of Lviv, Lviv, Universytetska 1, 79001 Ukraine
Abstract :
Generalized solutions of initial-boundary value problems for the wave equation are investigated in this article by using retarded layer potentials and Laguerre transform with respect to the time variable. Coefficients of Fourier-Laguerre expansion for densities of potentials are obtained in explicit form. As a result, integral equations in time domain were reduced to sequences of boundary integral equations with the same boundary operator on the left-hand side.
Keywords :
"Propagation","Integral equations","Mathematical model","Transforms","Yttrium","Seminars","Conferences"
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2015 XXth IEEE International Seminar/Workshop on
Print_ISBN :
978-9-6602-7541-6
DOI :
10.1109/DIPED.2015.7324278