TY - JOUR
T1 - A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 782
EP - 794
PY - 2018
DA - 2018/06
SN - 11
DO - http://doi.org/10.4208/nmtma.2018.s06
UR - https://global-sci.org/intro/article_detail/nmtma/12472.html
KW - 
AB - <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>