On the stable difference scheme for the time delay telegraph equation Кiдiртпелi телеграф теңдеуi үшiн орнықты айырымдық схемасы туралы Об устойчивой разностной схеме для уравнения телеграфа с задержкой

Ashyralyev, A.; TÜRK, KORAY; AĞIRSEVEN, DENİZ

doi:10.31489/2020m3/105-119

On the stable difference scheme for the time delay telegraph equation Кiдiртпелi телеграф теңдеуi үшiн орнықты айырымдық схемасы туралы Об устойчивой разностной схеме для уравнения телеграфа с задержкой

Ashyralyev A., TÜRK K., AĞIRSEVEN D.

Bulletin of the Karaganda University. Mathematics Series, cilt.99, sa.3, ss.105-119, 2020 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 99 Sayı: 3
Basım Tarihi: 2020
Doi Numarası: 10.31489/2020m3/105-119
Dergi Adı: Bulletin of the Karaganda University. Mathematics Series
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.105-119
Anahtar Kelimeler: delay telegraph equations, difference schemes, stability
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Trakya Üniversitesi Adresli: Evet

Özet

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.