On the stability of second order of accuracy difference scheme for the numerical solution of the time delay telegraph equation


Ashyralyev A., AĞIRSEVEN D., TÜRK K.

5th International Conference on Analysis and Applied Mathematics, ICAAM 2020, Mersin, Türkiye, 23 - 30 Eylül 2020, cilt.2325, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2325
  • Doi Numarası: 10.1063/5.0040279
  • Basıldığı Şehir: Mersin
  • Basıldığı Ülke: Türkiye
  • Trakya Üniversitesi Adresli: Evet

Özet

In this study, second order of accuracy difference scheme for approximate solution of initial-boundary value problem for time delay telegraph equation with Dirichlet condition is presented. The main theorem on stability of the difference scheme is established. Numerical results are provided.