Open AccessNumerical approaches for solution of hyperbolic difference equations on circleOpen AccessAuthor(s)
Ashyralyev Allaberen,
Hezenci Fatih,
Sozen Yasar
Publication year2024
Publication title
georgian mathematical journal
Resource typeJournals
PublisherDe Gruyter
The present paper considers nonlocal boundary value problems for hyperbolic equations on the circleT1\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.
Keyword(s)Difference equations on manifolds, difference schemes, well-posedness, self-adjoint positive definite operator
Language(s)English
SCImago Journal Rank0.277
H-Index27
eISSN1572-9176
pISSN1072-947X
DOI10.1515/gmj-2023-2103
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