A Note on Stability of Parabolic Difference Equations on Torus
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Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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 T-1 and torus T-2 are presented. For the solutions of the difference scheme, the stability estimates and coercivity estimates in various Holder norms are established. Furthermore, theoretical results are supported by numerical experiments.
Açıklama
Anahtar Kelimeler
Difference Equations On Manifolds; Difference Schemes; Self-Adjoint Positive Definite Operator; Well-Posedness
Kaynak
Numerical Functional Analysis and Optimization
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
