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Volume 11, Issue 4
A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients

Suruchi Singh, Kazufumi Ito, Swarn Singh & Zhilin Li

DOI: 10.4208/nmtma.2018.s06

Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 782-794.

Published online: 2018-06

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  • 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.

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@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 = {

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} }
TY - JOUR T1 - A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients AU - Suruchi Singh, Kazufumi Ito, Swarn Singh & Zhilin Li 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 -

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.

Suruchi Singh, Kazufumi Ito, Swarn Singh and Zhilin Li. (2018). A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients. Numerical Mathematics: Theory, Methods and Applications. 11 (4). 782-794. doi:10.4208/nmtma.2018.s06
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