On the stable difference scheme for the time delay telegraph equation

The stable difference scheme for the approximate solution of the initial boundary value problem for the telegraph equation with time delay in a Hilbert space is presented. The main theorem on stability of the difference scheme is established. In applications, stability estimates for the solution of difference schemes for the two type of the time delay telegraph equations are obtained. As a test problem, one-dimensional delay telegraph equation with nonlocal boundary conditions is considered. Numerical results are provided.

Authors
Ashyralyev A. 1, 2, 3 , Turk K.4 , Agirseven D.4
Publisher
KARAGANDA STATE UNIV
Number of issue
3
Language
English
Pages
105-119
Status
Published
Volume
99
Year
2020
Organizations
  • 1 Near East Univ, Dept Math, Mersin 10, Nicosia, Trnc, Turkey
  • 2 Peoples Friendship Univ Russia, UDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 3 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
  • 4 Trakya Univ, Dept Math, Edirne, Turkey
Keywords
difference schemes; delay telegraph equations; stability
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