Copy For Citation
Ashyralyev A., Hezenci F., SÖZEN Y.
Numerical Functional Analysis and Optimization, vol.44, 2023 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
44
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Publication Date:
2023
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Doi Number:
10.1080/01630563.2023.2183509
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Journal Name:
Numerical Functional Analysis and Optimization
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
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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 article investigates nonlocal boundary value problems for parabolic equations of reverse type on torus. The first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle (Formula presented.) and torus (Formula presented.) are presented. For the solutions of the difference scheme, the stability estimates and coercivity estimates in various Hölder norms are established. Furthermore, theoretical results are supported by numerical experiments.