Numerical approaches for solution of hyperbolic difference equations on circle

The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T1. 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. © 2024 Walter de Gruyter GmbH, Berlin/Boston.

Authors
Ashyralyev A. , Hezenci F. , Sozen Y.
Journal
Georgian Mathematical Journal
Publisher
De Gruyter
Number of issue
5
Language
English
Pages
723-730
Status
Published
Link
External link
DOI
10.1515/GMJ-2023-2103
Volume
31
Year
2024
Organizations
  • 1 Department of Mathematics, Düzce University, Faculty of Science and Arts, Düzce, 81620, Turkey
  • 2 Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
  • 3 Peoples' Friendship University of Russia (RUDN University), Ul. Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 4 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 5 Department of Mathematics, Hacettepe University, Ankara, 06800, Turkey
Keywords
Difference equations on manifolds; difference schemes; self-adjoint positive definite operator; well-posedness
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