Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation

    Zongxiu Ren Info
    Leilei Wei Info
    Yinnian He Info
    Shaoli Wang Info
DOI: https://doi.org/10.3846/13926292.2012.708675

Abstract

In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We show that our scheme is unconditional stable and L 2 error estimate for the linear case with the convergence rate  through analysis.

Keywords:

time-fractional partial differential equations, Zakharov–Kuznetsov equation, local discontinuous Galerkin method, stability, error estimates

How to Cite

Ren, Z., Wei, L., He, Y., & Wang, S. (2012). Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation. Mathematical Modelling and Analysis, 17(4), 558-570. https://doi.org/10.3846/13926292.2012.708675

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September 1, 2012
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2012-09-01

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How to Cite

Ren, Z., Wei, L., He, Y., & Wang, S. (2012). Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation. Mathematical Modelling and Analysis, 17(4), 558-570. https://doi.org/10.3846/13926292.2012.708675

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