Year: 2018
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2018.s06
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 4 : pp. 782–794
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
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A new patch up technique for elliptic partial differential equation with irregularities
Singh, Swarn
Singh, Suruchi
Li, Zhilin
Journal of Computational and Applied Mathematics, Vol. 407 (2022), Iss. P.113975
https://doi.org/10.1016/j.cam.2021.113975 [Citations: 1]