An Exact Solution of the Binary Singular Problem
Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular problem are given in the reproducing kernel space...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/580497 |
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| _version_ | 1832564735662358528 |
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| author | Baiqing Sun Kun Tang Hongmei Zhang Shan Xiong |
| author_facet | Baiqing Sun Kun Tang Hongmei Zhang Shan Xiong |
| author_sort | Baiqing Sun |
| collection | DOAJ |
| description | Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular problem are given in the reproducing kernel space and studied, also for a class of singular problem. For the binary equation of singular points, I put it into the singular problem first, and then reuse some excellent properties which are applied to solve the method of solving differential equations for its exact solution expression of binary singular integral equation in reproducing kernel space, and then obtain its approximate solution through the evaluation of exact solutions. Numerical examples will show the effectiveness of this method. |
| format | Article |
| id | doaj-art-24d9eee11a044b1db266d4c2088308b8 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-24d9eee11a044b1db266d4c2088308b82025-02-03T01:10:16ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/580497580497An Exact Solution of the Binary Singular ProblemBaiqing Sun0Kun Tang1Hongmei Zhang2Shan Xiong3School of Management, Harbin Institute of Technology, 150001 Harbin, ChinaSchool of Management, Harbin Institute of Technology, 150001 Harbin, ChinaSchool of Management, Harbin Institute of Technology, 150001 Harbin, ChinaSchool of Management, Harbin Institute of Technology, 150001 Harbin, ChinaSingularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular problem are given in the reproducing kernel space and studied, also for a class of singular problem. For the binary equation of singular points, I put it into the singular problem first, and then reuse some excellent properties which are applied to solve the method of solving differential equations for its exact solution expression of binary singular integral equation in reproducing kernel space, and then obtain its approximate solution through the evaluation of exact solutions. Numerical examples will show the effectiveness of this method.http://dx.doi.org/10.1155/2014/580497 |
| spellingShingle | Baiqing Sun Kun Tang Hongmei Zhang Shan Xiong An Exact Solution of the Binary Singular Problem Journal of Function Spaces |
| title | An Exact Solution of the Binary Singular Problem |
| title_full | An Exact Solution of the Binary Singular Problem |
| title_fullStr | An Exact Solution of the Binary Singular Problem |
| title_full_unstemmed | An Exact Solution of the Binary Singular Problem |
| title_short | An Exact Solution of the Binary Singular Problem |
| title_sort | exact solution of the binary singular problem |
| url | http://dx.doi.org/10.1155/2014/580497 |
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