Atıf İçin Kopyala
Ashyralyev A., Hezenci F., SÖZEN Y.
Georgian Mathematical Journal, 2024 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Basım Tarihi:
2024
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Doi Numarası:
10.1515/gmj-2023-2103
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Dergi Adı:
Georgian Mathematical Journal
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
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Anahtar Kelimeler:
Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness
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Hacettepe Üniversitesi Adresli:
Evet
Özet
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.