Well-Posedness of a Fourth Order of Accuracy Difference Scheme for Bitsadze–Samarskii-Type Problem

In the present study, a fourth order of accuracy difference scheme for the approximate solution of the Bitsadze–Samarskii type nonlocal boundary value problem with the integral condition is investigated. Theorem on well-posedness of the difference scheme in the difference analogue of Hölder spaces with a weight is established. In applications, coercive stability estimates for the solutions of difference schemes of nonlocal boundary value problems for elliptic problems are obtained. © 2017 Taylor & Francis.

Authors
Ashyralyev A. 1, 2, 3 , Ozturk Beigmohammadi E.
Journal
Numerical Functional Analysis and Optimization
Publisher
Taylor and Francis Inc.
Number of issue
10
Language
English
Pages
1244-1259
Status
Published
Link
External link
DOI
10.1080/01630563.2017.1316994
Volume
38
Year
2017
Organizations
  • 1 Department of Mathematics, Near East University, TRNC, Mersin, Turkey
  • 2 Department of Mathematics, Peoples Friendship University Russia, Moscow, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • 4 Department of Economics, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Keywords
Difference scheme; elliptic equation; nonlocal boundary value problem; well-posedness
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5260/
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