On the stability of the telegraph equation with time delay
Filomat, cilt.34, sa.4, ss.1251-1259, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 4
- Basım Tarihi: 2020
- Doi Numarası: 10.2298/fil2004251a
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.1251-1259
- Anahtar Kelimeler: Delay telegraph equations, Difference schemes, Initial and boundary value problems, Stability
- Trakya Üniversitesi Adresli: Evet
Özet
In this study, the initial value problem for telegraph equations with time delay in a Hilbert space is considered. The main theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with the Dirichlet boundary condition is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes.