Well-Posedness of a Fourth Order of Accuracy Difference Scheme for Bitsadze–Samarskii-Type Problem. (3rd October 2017)

• Record Type: Journal Article
• Authors: Ashyralyev, Allaberen; Ozturk Beigmohammadi, Elif
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 10(2017)
• Page Start: 1244
• Page End: 1259
• Publication Date: 2017-10-03
• Subjects: Difference scheme -- elliptic equation -- nonlocal boundary value problem -- well-posedness; 65N12 -- 65M12 -- 65J10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1316994
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: 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.