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Volume 3, Issue 1
Solution of the Two-Dimensional Stefan Problem by the Singularity-Separating Method

Quan-Sheng Xu & You-Lan Zhu

J. Comp. Math., 3 (1985), pp. 8-18.

Published online: 1985-03

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  • Abstract

In this paper the idea of "singularity-separating" presented in [10] is used to solve a two-dimensional phase-change problem. A difference scheme with second-order accuracy everywhere, including the region near the boundary between two phases, is constructed for the above problem. Through the computation it is shown that the singularity-separating method, whose accuracy is high, is efficient for two-dimensional phase-change problem.

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@Article{JCM-3-8, author = {Quan-Sheng Xu and You-Lan Zhu}, title = {Solution of the Two-Dimensional Stefan Problem by the Singularity-Separating Method}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {1}, pages = {8--18}, abstract = {

In this paper the idea of "singularity-separating" presented in [10] is used to solve a two-dimensional phase-change problem. A difference scheme with second-order accuracy everywhere, including the region near the boundary between two phases, is constructed for the above problem. Through the computation it is shown that the singularity-separating method, whose accuracy is high, is efficient for two-dimensional phase-change problem.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9602.html} }
TY - JOUR T1 - Solution of the Two-Dimensional Stefan Problem by the Singularity-Separating Method AU - Quan-Sheng Xu & You-Lan Zhu JO - Journal of Computational Mathematics VL - 1 SP - 8 EP - 18 PY - 1985 DA - 1985/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9602.html KW - AB -

In this paper the idea of "singularity-separating" presented in [10] is used to solve a two-dimensional phase-change problem. A difference scheme with second-order accuracy everywhere, including the region near the boundary between two phases, is constructed for the above problem. Through the computation it is shown that the singularity-separating method, whose accuracy is high, is efficient for two-dimensional phase-change problem.

Quan-Sheng Xu and You-Lan Zhu. (1985). Solution of the Two-Dimensional Stefan Problem by the Singularity-Separating Method. Journal of Computational Mathematics. 3 (1). 8-18. doi:
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