Numerical approaches for solution of hyperbolic difference equations on circle

Ashyralyev A., Hezenci F., SÖZEN Y.

Georgian Mathematical Journal, cilt.31, sa.5, ss.723-730, 2024 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 5
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/gmj-2023-2103
  • Dergi Adı: Georgian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.723-730
  • Anahtar Kelimeler: Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness
  • Hacettepe Üniversitesi Adresli: Evet

Özet

The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T 1 \mathbb{T}^{1}. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various Hölder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided.