 High-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equationIraj Fahimi-khalilabad, Safar Irandoust-pakchin and Somayeh Abdi-mazraeh Mathematics and Computers in Simulation (MATCOM), 2022, vol. 199, issue C, 60-80 Abstract: The main aim of this paper is to develop a class of high-order finite difference method for the numerical solution of Caputo type time-fractional sub-diffusion equation. In the time direction, the Caputo derivative is discretized by employing a numerical technique based on the fractional linear barycentric rational interpolation method (FLBRI). The stability properties and the convergence analysis of the proposed scheme are considered based on the energy method. As a result, the order of convergence is O(Δt)p+(Δx)2 for 1≤p≤7, in which Δt is the temporal step size, Δx is the spatial step size, and p is the order of accuracy in the time direction. Finally, numerical experiment is provided to show that the results confirm the theoretical analysis, perfectly. Keywords: Fractional linear multistep method; Barycentric polynomials; Fractional sub-diffusion equation; Stability properties; Convergence analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:199:y:2022:i:c:p:60-80 DOI: 10.1016/j.matcom.2022.03.008 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.