A numerical method for solving heat equations involving interfaces
In 1993, Li and Mayo [3] gave a finite-difference method with second order accuracy for solving the heat equations involving interfaces with constant coefficients and discontinuous sources. In this paper, we expand their result by presenting a finite-difference method which allows each coefficient t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2000-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/03/l1/abstr.html |
| _version_ | 1818937418284269568 |
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| author | Zhilin Li Yun-Qiu Shen |
| author_facet | Zhilin Li Yun-Qiu Shen |
| author_sort | Zhilin Li |
| collection | DOAJ |
| description | In 1993, Li and Mayo [3] gave a finite-difference method with second order accuracy for solving the heat equations involving interfaces with constant coefficients and discontinuous sources. In this paper, we expand their result by presenting a finite-difference method which allows each coefficient to take different values in different sub-regions of the interface. Our method is useful in physical applications, and has also second order accuracy. |
| first_indexed | 2024-12-20T05:51:38Z |
| format | Article |
| id | doaj.art-066cecb178c84d56ab09fb4df326e7f0 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-20T05:51:38Z |
| publishDate | 2000-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-066cecb178c84d56ab09fb4df326e7f02022-12-21T19:51:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-07-01Conference03100108A numerical method for solving heat equations involving interfacesZhilin LiYun-Qiu ShenIn 1993, Li and Mayo [3] gave a finite-difference method with second order accuracy for solving the heat equations involving interfaces with constant coefficients and discontinuous sources. In this paper, we expand their result by presenting a finite-difference method which allows each coefficient to take different values in different sub-regions of the interface. Our method is useful in physical applications, and has also second order accuracy.http://ejde.math.txstate.edu/conf-proc/03/l1/abstr.htmlFinite differenceSecond order accuracyInterfaceLocal coordinates. |
| spellingShingle | Zhilin Li Yun-Qiu Shen A numerical method for solving heat equations involving interfaces Electronic Journal of Differential Equations Finite difference Second order accuracy Interface Local coordinates. |
| title | A numerical method for solving heat equations involving interfaces |
| title_full | A numerical method for solving heat equations involving interfaces |
| title_fullStr | A numerical method for solving heat equations involving interfaces |
| title_full_unstemmed | A numerical method for solving heat equations involving interfaces |
| title_short | A numerical method for solving heat equations involving interfaces |
| title_sort | numerical method for solving heat equations involving interfaces |
| topic | Finite difference Second order accuracy Interface Local coordinates. |
| url | http://ejde.math.txstate.edu/conf-proc/03/l1/abstr.html |
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