A numerical study of fractional linear algebraic systems

Emmanuel Lorin and Simon Tian

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 182, issue C, 495-513

Abstract: This paper is devoted to the study of numerical methods for solving large, sparse or full fractional linear algebraic systems (FLAS). The intent is to provide relevant and fair accuracy and efficiency comparisons of several solvers for this type of linear systems, typically involved in the approximation of fractional partial differential equations.

Keywords: Cauchy integral; Padé’s approximants; Ordinary differential equation solver; Preconditioner; pth roots; GMRES; Fractional differential equations (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:182:y:2021:i:c:p:495-513

DOI: 10.1016/j.matcom.2020.11.010

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