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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 2/2018

05.02.2018

Unconditional Convergence in Maximum-Norm of a Second-Order Linearized Scheme for a Time-Fractional Burgers-Type Equation

verfasst von: Seakweng Vong, Pin Lyu

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2018

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Abstract

We study linearized finite difference scheme for a time-fractional Burgers-type equation in this paper. A linearized scheme with second-order accuracy in time and space is proposed. The advantage of the scheme is that iterative method is not required for finding the approximated solutions. Nonlinearity involving derivatives causes difficulties in analysis. By refined estimates of our previous study, we show that the scheme unconditionally converges with second-order in maximum-norm. The theoretical results are justified by numerical tests.
Vorheriger Artikel Convergence of the MAC Scheme for the Stokes/Darcy Coupling Problem
Nächster Artikel Weak Galerkin Finite Element Methods for the Simulation of Single-Phase Flow in Fractured Porous Media

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Metadaten
Titel
Unconditional Convergence in Maximum-Norm of a Second-Order Linearized Scheme for a Time-Fractional Burgers-Type Equation
verfasst von
Seakweng Vong
Pin Lyu
Publikationsdatum
05.02.2018
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 2/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-018-0659-0

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