An implicit Keller Box numerical scheme for the solution of fractional subdiffusion equations

S.A. Osman and T.A.M. Langlands

Applied Mathematics and Computation, 2019, vol. 348, issue C, 609-626

Abstract: In this work, we present a new implicit numerical scheme for fractional subdiffusion equations. In this approach we use the Keller Box method [1] to spatially discretise the fractional subdiffusion equation and we use a modified L1 scheme (ML1), similar to the L1 scheme originally developed by Oldham and Spanier [2], to approximate the fractional derivative. The stability of the proposed method was investigated by using Von-Neumann stability analysis. We have proved the method is unconditionally stable when 0<λqKeywords: Fractional subdiffusion equation; Keller Box method; Fractional calculus; L1 scheme; Linear reaction (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:348:y:2019:i:c:p:609-626

DOI: 10.1016/j.amc.2018.12.015

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