On the stability of the telegraph equation with time delay

Ashyralyev A., AĞIRSEVEN D., TÜRK K.

3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016, Almaty, Kazakistan, 7 - 10 Eylül 2016, cilt.1759, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1759
  • Doi Numarası: 10.1063/1.4959636
  • Basıldığı Şehir: Almaty
  • Basıldığı Ülke: Kazakistan
  • Anahtar Kelimeler: Delay telegraph equations, Difference schemes, Initial and boundary value problems
  • Trakya Üniversitesi Adresli: Evet

Özet

In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with Dirichlet boundary conditions is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes.