@Article{IJNAM-14-784,
author = {Nattapol Ploymaklam, Pratik M. Kumbhar and Amiya K. Pani},
title = {A Priori Error Analysis of the Local Discontinuous Galerkin Method for the Viscous Burgers-Poisson System},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2017},
volume = {14},
number = {4-5},
pages = {784--807},
abstract = {<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>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10061.html}
}