Numerical approaches for solution of hyperbolic difference equations on circle
Ashyralyev A. Hezenci F. Sozen Y.
1 October 2024Walter de Gruyter GmbH
Georgian Mathematical Journal
2024#31Issue 5723 - 730 pp.
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.
Difference equations on manifolds , difference schemes , self-adjoint positive definite operator , well-posedness
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Department of Mathematics, Düzce University, Faculty of Science and Arts, Düzce, 81620, Turkey
Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Peoples Friendship University of Russia (RUDN University), Ul. Miklukho Maklaya 6, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics, Hacettepe University, Ankara, 06800, Turkey
Department of Mathematics
Department of Mathematics
Peoples Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
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