Speaker
Peyil Esengul kyzy
(KYRGYZ-TURKISH MANAS UNIVERSITY)
Description
In this paper, a regularized asymptotics of the solution of a singularly perturbed Cauchy problem for a telegraph equation is constructed and finded numerical solution. Singularly perturbed telegraph equations, in our formulation, have not been paid attention to by researchers. This is due to the appearance of oscillating terms in the asymptotics.
We tried to find the asymptotic solution of the telegraph equation that arose in the study of obstacles to the propagation of electric signals and communication along conductors. In this case, since the problem involves a small parameter, we first regularized the equation using the methods of A.S. Lomov [7] and A.S. Omuraliev [8] and then found its asymptotic solution.
Consider the problem
| Keywords | Singularly perturbed problem, hyperbolic equation, telegraph equation, rapidly oscillating boundary layer, numerical solution |
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Primary authors
Prof.
Asan Omuraliev
(Kyrgyz State Technical University named after I.Razzakov)
Peyil Esengul kyzy
(KYRGYZ-TURKISH MANAS UNIVERSITY)
Co-authors
Azat Akmatbekova
(Kyrgyz-Turkish Manas University)
Dr
Ella Abylaeva
(Kyrgyz-Turkish Manas University)
Dr
Muge Serife EGE
(Ege University)
