The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law

Changpin Li and Zhen Wang

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 169, issue C, 51-73

Abstract: In this paper, efficient methods for numerical solutions of Caputo-type nonlinear conservation laws are established and studied, where the time fractional derivative with order in (0,1) is discretized by the finite difference method and the spatial derivative by the discontinuous Galerkin finite element method. The derived numerical schemes for one and two space dimensions are shown to be stable and convergent. Numerical experiments are provided to support these conclusions.

Keywords: Caputo derivative; Discontinuous Galerkin method; Stability; Convergence (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:169:y:2020:i:c:p:51-73

DOI: 10.1016/j.matcom.2019.09.021

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