Numerical solutions of telegraph equations with the Dirichlet boundary condition

Ashyralyev A., Turkcan K. T., Köksal M. E.

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

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1759
  • Doi Numarası: 10.1063/1.4959669
  • Basıldığı Şehir: Almaty
  • Basıldığı Ülke: Kazakistan
  • Anahtar Kelimeler: Telegraph equations, Numerical solutions, Error analysis, DIFFERENCE SCHEME
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study, the Cauchy problem for telegraph equations in a Hilbert space is considered. Stability estimates for the solution of this problem are presented. The third order of accuracy difference scheme is constructed for approximate solutions of the problem. Stability estimates for the solution of this difference scheme are established. As a test problem to support theoretical results, one-dimensional telegraph equation with the Dirichlet boundary condition is considered. Numerical solutions of this equation are obtained by first, second and third order of accuracy difference schemes.