| 椭圆界面问题的高阶差分格式 |
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| 引用本文： | 吴龙渊,翟术英. 椭圆界面问题的高阶差分格式[J]. 华侨大学学报(自然科学版), 2020, 41(3): 400-406. DOI: 10.11830/ISSN.1000-5013.201910005 |
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| 作者姓名： | 吴龙渊 翟术英 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 基金项目： | 华侨大学中青年教师优秀青年科技创新人才资助项目;国家自然科学基金;华侨大学研究生科研创新能力培养计划项目 |
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| 摘 要： | 构造混合边界条件下椭圆界面问题的一个高阶数值格式.在求解区域内部及界面处采用四阶逼近,边界处采用三阶数值格式,得到一个整体四阶精度的求解格式.数值实验证明了格式的高精度及有效性.
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| 关 键 词： | 椭圆界面问题 混合边界 四阶Padé逼近 高阶数值 |
High-Order Finite Difference Scheme for Elliptic Interface Problem |
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| WU Longyuan,ZHAI Shuying. High-Order Finite Difference Scheme for Elliptic Interface Problem[J]. Journal of Huaqiao University(Natural Science), 2020, 41(3): 400-406. DOI: 10.11830/ISSN.1000-5013.201910005 |
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| Authors: | WU Longyuan ZHAI Shuying |
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| Affiliation: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | In this paper, we propose a high-order finite difference scheme for elliptic interface problems with mixed boundary conditions. The fourth-order approximation is adopted in the solution area and the interface, while a third-order numerical scheme is adopted on the boundary, we obtain a solution scheme with global fourth order accuracy. Numerical experiments are given to illustrate the high accuracy and effectiveness of our scheme. |
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| Keywords: | elliptical interface problem mixed boundary fourth-order Padé approximation higher-order values |
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