TY - JOUR
T1 - A Priori Error Analysis of the Local Discontinuous Galerkin Method for the Viscous Burgers-Poisson System
AU - Nattapol Ploymaklam, Pratik M. Kumbhar & Amiya K. Pani
JO - International Journal of Numerical Analysis and Modeling
VL - 4-5
SP - 784
EP - 807
PY - 2017
DA - 2017/08
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/10061.html
KW - Burgers-Poisson system, local discontinuous Galerkin method, A priori error estimates.
AB - <p style="text-align: justify;">In this paper, we propose and analyze the local discontinuous Galerkin method for the
viscous Burgers-Poisson system. The proposed method preserves two invariants and hence, yields
solutions even for long time. A priori error estimates, which are of order $\mathcal{O}(h^{k+1})$, when polynomials
of degree $k\geq 1$ are used for approximating solutions are established. Finally, numerical
experiments are conducted to confirm our theoretical results.</p>