Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition. (5th August 2020)

• Record Type: Journal Article
• Authors: Ashyralyyev, Charyyar; Akkan, Pinar
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 16(2020)
• Page Start: 1913
• Page End: 1935
• Publication Date: 2020-08-05
• Subjects: Difference scheme -- inverse problems -- multipoint nonlocal boundary value problems -- parabolic equation -- source identification -- stability; 39A14 -- 65J22; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1802748
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We study a source identification problem for a parabolic equation with multipoint nonlocal boundary condition. Stability estimates for the solution of abstract source identification problem are established. In application, stability estimates for the solution of the overdetermined mixed boundary value problem for multidimensional parabolic equation are obtained. The first and second order of accuracy difference schemes for the approximate solution of this problem are constructed. Stability estimates for solutions of these difference schemes are proved. Numerical illustration for a simple test problem is presented.