Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation

Leilei Wei

Applied Mathematics and Computation, 2017, vol. 304, issue C, 180-189

Abstract: In this paper a finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation is presented and analyzed. We first propose a new finite difference method to approximate the time fractional derivatives, and give a semidiscrete scheme in time. Further we develop a fully discrete scheme for the fractional diffusion-wave equation, and prove that the method is unconditionally stable and convergent with order O(hk+1+(Δt)3−α), where k is the degree of piecewise polynomial. Extensive numerical examples are carried out to confirm the theoretical convergence rates.

Keywords: Fractional diffusion-wave equation; Time fractional derivative; Local discontinuous Galerkin method; Stability (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:304:y:2017:i:c:p:180-189

DOI: 10.1016/j.amc.2017.01.054

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