Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme
We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given. These approximations demonstrate the preciseness of the in...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-12-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/5/4/77 |
| _version_ | 1819079170098987008 |
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| author | Mir Sajjad Hashemi Ali Akgül Mustafa Inc Idrees Sedeeq Mustafa Dumitru Baleanu |
| author_facet | Mir Sajjad Hashemi Ali Akgül Mustafa Inc Idrees Sedeeq Mustafa Dumitru Baleanu |
| author_sort | Mir Sajjad Hashemi |
| collection | DOAJ |
| description | We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given. These approximations demonstrate the preciseness of the investigated techniques. |
| first_indexed | 2024-12-21T19:24:44Z |
| format | Article |
| id | doaj.art-d8e9492ab32144ed89d4880e8f55d5ec |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-21T19:24:44Z |
| publishDate | 2017-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d8e9492ab32144ed89d4880e8f55d5ec2022-12-21T18:52:51ZengMDPI AGMathematics2227-73902017-12-01547710.3390/math5040077math5040077Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving SchemeMir Sajjad Hashemi0Ali Akgül1Mustafa Inc2Idrees Sedeeq Mustafa3Dumitru Baleanu4Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab 55517-61167, IranDepartment of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, TurkeyDepartment of Mathematics, Science Faculty, Fırat University, 23119 Elazığ, TurkeyDepartment of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, TurkeyDepartment of Mathematics, Art and Science Faculty, Çankaya University, TR-06300 Ankara, TurkeyWe apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given. These approximations demonstrate the preciseness of the investigated techniques.https://www.mdpi.com/2227-7390/5/4/77Lane–Emden equationgroup preserving schemereproducing kernel functionsapproximate solutions |
| spellingShingle | Mir Sajjad Hashemi Ali Akgül Mustafa Inc Idrees Sedeeq Mustafa Dumitru Baleanu Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme Mathematics Lane–Emden equation group preserving scheme reproducing kernel functions approximate solutions |
| title | Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme |
| title_full | Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme |
| title_fullStr | Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme |
| title_full_unstemmed | Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme |
| title_short | Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme |
| title_sort | solving the lane emden equation within a reproducing kernel method and group preserving scheme |
| topic | Lane–Emden equation group preserving scheme reproducing kernel functions approximate solutions |
| url | https://www.mdpi.com/2227-7390/5/4/77 |
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