Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/22782
Title: On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness
Authors: Ashyralyev, Allaberen
Uludaǧ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.
Öztürk, Elif
54403582400
Keywords: Mathematics
Elliptic equations
Nonlocal boundary value problems
Difference schemes
Stability
Schemes
Spaces
Coercive force
Convergence of numerical methods
Difference equations
Approximate solution
Elliptic equations
Nonlocal boundary-value problems
Second orders
Wellposedness
Boundary value problems
Issue Date: 15-Oct-2012
Publisher: Elsevier Science
Citation: Ashyralyev, A. ve Öztürk, E. (2012). "On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness". Applied Mathematics and Computation, 219(3), 1093-1107.
Abstract: The well-posedness of the Bitsadze-Samarskii type nonlocal boundary value problem in Hlder spaces with a weight is established. The coercivity inequalities for the solution of the nonlocal boundary value problem for elliptic equations are obtained. The stable second order of accuracy difference scheme for the approximate solution of the problem is presented. The well-posedness of this difference scheme in difference analogue of Hlder spaces is established. For applications, the almost coercivity and the coercivity estimates for solutions of difference schemes for elliptic equations are obtained.
URI: https://doi.org/10.1016/j.amc.2012.07.016
https://www.sciencedirect.com/science/article/pii/S0096300312007163
http://hdl.handle.net/11452/22782
ISSN: 0096-3003
1873-5649
Appears in Collections:Scopus
Web of Science

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