The Order of Convergence of Difference Schemes for Fractional Equations. (3rd June 2017)

• Record Type: Journal Article
• Authors: Liu, Ru; Li, Miao; Piskarev, Sergey
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 6(2017)
• Page Start: 754
• Page End: 769
• Publication Date: 2017-06-03
• Subjects: α-times resolution family -- discretization methods -- explicit scheme -- fractional Cauchy problem -- implicit scheme; 45L05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1297825
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we continue our research on convergence of difference schemes for fractional differential equations. Using implicit difference scheme and explicit difference scheme, we have a deal with the full discretization of the solutions of fractional differential equations in time variables and get the order of convergence.