Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 782-794.
Published online: 2018-06
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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} }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.