@Article{NMTMA-11-782,
author = {Suruchi Singh, Kazufumi Ito, Swarn Singh and Zhilin Li},
title = {A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {4},
pages = {782--794},
abstract = {<p style="text-align: justify;">This paper reports a compact fourth order accurate cubic spline collocation
procedure for numerical solution of transport equation with discontinuous coefficients.
The proposed scheme is shown to be stable. A new patch up technique is developed
near the interface where the coefficient has jump discontinuity. A numerical experiment
is given to confirm the accuracy and efficiency of the proposed scheme.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2018.s06},
url = {http://global-sci.org/intro/article_detail/nmtma/12472.html}
}