A Note on Parabolic Difference Equations on Manifold

Ashyralyev A., Hezenci F., SÖZEN Y.

5th International Conference of Mathematical Sciences, ICMS 2021, İstanbul, Türkiye, 23 - 27 Haziran 2021, cilt.2483 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2483
  • Doi Numarası: 10.1063/5.0115369
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness
  • Hacettepe Üniversitesi Adresli: Evet

Özet

© 2022 American Institute of Physics Inc.. All rights reserved.In this work, we consider nonlocal boundary value problems for parabolic equations on manifold. We set up the first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle. For the solutions of the difference scheme, we establish the stability estimates and coercivity estimates in various Hölder norms for the solutions of such boundary value problems. Furthermore, numerical results are given.