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, Turkey, 23 - 30 September 2020, vol.2325, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 2325
  • Doi Number: 10.1063/5.0040279
  • City: Mersin
  • Country: Turkey
  • Trakya University Affiliated: Yes

Abstract

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.