A Note on Stability of Parabolic Difference Equations on Torus

Ashyralyev A., Hezenci F., SÖZEN Y.

Numerical Functional Analysis and Optimization, cilt.44, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/01630563.2023.2183509
  • Dergi Adı: Numerical Functional Analysis and Optimization
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness
  • Hacettepe Üniversitesi Adresli: Evet

Özet

The present article investigates nonlocal boundary value problems for parabolic equations of reverse type on torus. The first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle (Formula presented.) and torus (Formula presented.) are presented. For the solutions of the difference scheme, the stability estimates and coercivity estimates in various Hölder norms are established. Furthermore, theoretical results are supported by numerical experiments.