On stability of difference schemes for hyperbolic multipoint NBVP with Neumann conditions

YILDIRIM Ö., Uzun M.

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

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1759
  • Doi Numarası: 10.1063/1.4959708
  • Basıldığı Şehir: Almaty
  • Basıldığı Ülke: Kazakistan
  • Anahtar Kelimeler: Finite difference method, Hyperbolic partial differential equations, Stability
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this work, a multipoint nonlocal boundary value problem (NBVP) for hyperbolic equations with Neumann conditions is considered. Third and fourth order of accuracy stable difference schemes for solving this problem are presented. Efficiency of these schemes are tested via MATLAB implementation.