Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation

Na An, Chaobao Huang and Xijun Yu

Applied Mathematics and Computation, 2019, vol. 349, issue C, 148-157

Abstract: Based on the finite difference scheme in temporal and the direct discontinuous Galerkin (DDG) method in spatial, a fully discrete DDG scheme is first proposed to solve the two-dimensional fractional diffusion-wave equation with Caputo derivative of order 1 < α < 2. The proposed scheme is unconditional stable, and the spatial global convergence and the temporal convergence order of O(Δt+hk+1) is derived in L2 norm with Pk polynomial. Numerical experiments are presented to demonstrate the theoretical results.

Keywords: Fractional diffusion-wave equation; Direct discontinuous Galerkin method; Stability; Error estimation (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:148-157

DOI: 10.1016/j.amc.2018.12.048

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