Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Numerical Identification of the Dependence of the Right Side of the Wave Equation on the Spatial Variable

Author(s):

Khanlar Mehbali oglu Gamzaev

Azerbaijan State Oil and Industry University
Department of General and Applied Mathematics
Doctor of Technical Sciences, Professor
AZ 1010 Baku, Azadlig avenue 20, Azerbaijan

xan.h@rambler.ru

Abstract:

The problem of identifying the multiplier of the right side of a one-dimensional wave equation depending on a spatial variable is considered. As additional information, the condition of the final redefinition is set. A discrete analogue of the inverse problem is constructed using the finite difference method. To solve the resulting difference problem, a special representation is proposed, with the help of which the difference problem splits into two independent difference problems. As a result, an explicit formula is obtained for determining the approximate value of the desired function for each discrete value of a spatial variable. The presented results of numerical experiments conducted for model problems demonstrate the effectiveness of the proposed computational algorithm.

Keywords

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