@Article{NMTMA-11-782, author = {}, 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 = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2018.s06}, url = {http://global-sci.org/intro/article_detail/nmtma/12472.html} }