Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm tha...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/735831 |
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| _version_ | 1832559178934124544 |
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| author | Yulan Wang Hao Yu Fugui Tan Shuguang Li |
| author_facet | Yulan Wang Hao Yu Fugui Tan Shuguang Li |
| author_sort | Yulan Wang |
| collection | DOAJ |
| description | We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm that the reproducing kernel method is an efficient and accurate method. |
| format | Article |
| id | doaj-art-e86867835b0a4c3192accbb6f8ace05a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e86867835b0a4c3192accbb6f8ace05a2025-02-03T01:30:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/735831735831Using an Effective Numerical Method for Solving a Class of Lane-Emden EquationsYulan Wang0Hao Yu1Fugui Tan2Shuguang Li3Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaJining Teachers College, Wūlánchábù, Inner Mongolia 012000, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaWe use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm that the reproducing kernel method is an efficient and accurate method.http://dx.doi.org/10.1155/2014/735831 |
| spellingShingle | Yulan Wang Hao Yu Fugui Tan Shuguang Li Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations Abstract and Applied Analysis |
| title | Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations |
| title_full | Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations |
| title_fullStr | Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations |
| title_full_unstemmed | Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations |
| title_short | Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations |
| title_sort | using an effective numerical method for solving a class of lane emden equations |
| url | http://dx.doi.org/10.1155/2014/735831 |
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