On the Stability of the Time Delay Telegraph Equation with Neumann Condition

In this paper, we consider the initial-boundary value problem for time delay telegraph equation with Neumann condition. Stability estimates for the solution of this problem are obtained. A first order of accuracy difference scheme is constructed. Stability estimates for the solution of this difference scheme are established. As a test problem, one-dimensional time delay telegraph equation with Neumann condition is considered. Numerical results are given. © 2021, Springer Nature Switzerland AG.

Authors
Ashyralyev A. 1, 2, 3 , Turk K.4 , Agirseven D.4
Conference proceedings
Springer Proceedings in Mathematics and Statistics
Publisher
Springer New York LLC
Language
English
Pages
201-211
Status
Published
DOI
10.1007/978-3-030-69292-6_15
Volume
351
Year
2021
Organizations
  • 1 Department of Mathematics, Near East University, TRNC, Mersin 10, Nicosia, Turkey
  • 2 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Trakya University, Edirne, Turkey
Keywords
Delay telegraph equations; Stability
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76316/
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