@Article{IJNAM-13-657,
author = {R. Dutta and N. H. Risebro},
title = {A Note on the Convergence of a Crank-Nicolson Scheme for the KdV Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {5},
pages = {657--675},
abstract = {<p style="text-align: justify;">The aim of this paper is to establish the convergence of a fully discrete Crank-Nicolson
type Galerkin scheme for the Cauchy problem associated to the KdV equation. The convergence is
achieved for initial data in $L^2$, and we show that the scheme converges strongly in $L^2(0, T; L^2_{loc}(\mathbb{R}))$ to a weak solution for some $T &gt;0$. Finally, the convergence is illustrated by a numerical example.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/458.html}
}