@Article{IJNAM-1-131,
author = {Zhu , ShaohongYuan , Guangwei and Sun , Weiwei},
title = {Convergence and Stability of Explicit/Implicit Schemes for Parabolic Equations with Discontinuous Coefficients},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2004},
volume = {1},
number = {2},
pages = {131--146},
abstract = {<p style="text-align: justify;">In this paper an explicit/implicit schemes for parabolic equations
with discontinuous coefficients is analyzed. We show that the error of the
solution in $L^∞$ norm and the error of the discrete flux in $L^2$ norm are in order $O(\tau + h^2)$ and $O(\tau + h^{\frac{3}{2}})$, respectively and the scheme is stable under some
weaker conditions, while the&nbsp;difference scheme has the truncation error $O(1)$ at the neighboring points of the discontinuity of the coefficient. Numerical
experiments, which are given for both linear and nonlinear problems, show
that our theoretical estimates are optimal in some sense. The comparison with
some classical scheme is presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/970.html}
}