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

Ashyralyev A., TÜRK K., AĞIRSEVEN D.

4th International Conference on Analysis and Applied Mathematics, ICAAM 2018, Mersin, Türkiye, 6 - 09 Eylül 2018, cilt.351, ss.201-211, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 351
  • Doi Numarası: 10.1007/978-3-030-69292-6_15
  • Basıldığı Şehir: Mersin
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.201-211
  • Anahtar Kelimeler: Delay telegraph equations, Stability
  • Trakya Üniversitesi Adresli: Evet

Özet

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.