Copy For Citation
Ashyralyev A., Hezenci F., SÖZEN Y.
Georgian Mathematical Journal, 2024 (SCI-Expanded)
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Publication Type:
Article / Article
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Publication Date:
2024
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Doi Number:
10.1515/gmj-2023-2103
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Journal Name:
Georgian Mathematical Journal
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
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Keywords:
Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness
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Hacettepe University Affiliated:
Yes
Abstract
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.