Modified Differential Transform Method for Two Singular Boundary Values Problems
This paper deals with the two singular boundary values problems of second order. Two singular points are both boundary values points of the differential equation. The numerical solutions are developed by modified differential transform method (DTM) for expanded point. Linear and nonlinear models are...
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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 Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/138087 |
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| _version_ | 1850236836314611712 |
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| author | Yinwei Lin Hsiang-Wen Tang Cha’o-Kuang Chen |
| author_facet | Yinwei Lin Hsiang-Wen Tang Cha’o-Kuang Chen |
| author_sort | Yinwei Lin |
| collection | DOAJ |
| description | This paper deals with the two singular boundary values problems of second order. Two singular points are both boundary values points of the differential equation. The numerical solutions are developed by modified differential transform method (DTM) for expanded point. Linear and nonlinear models are solved by this method to get more reliable and efficient numerical results. It can also solve ordinary differential equations where the traditional one fails. Besides, we give the convergence of this new method. |
| format | Article |
| id | doaj-art-106d343886b048349ce7c0aae9ad7718 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-106d343886b048349ce7c0aae9ad77182025-08-20T02:01:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/138087138087Modified Differential Transform Method for Two Singular Boundary Values ProblemsYinwei Lin0Hsiang-Wen Tang1Cha’o-Kuang Chen2Department of Mechanical Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Mechanical Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Mechanical Engineering, National Cheng Kung University, Tainan 70101, TaiwanThis paper deals with the two singular boundary values problems of second order. Two singular points are both boundary values points of the differential equation. The numerical solutions are developed by modified differential transform method (DTM) for expanded point. Linear and nonlinear models are solved by this method to get more reliable and efficient numerical results. It can also solve ordinary differential equations where the traditional one fails. Besides, we give the convergence of this new method.http://dx.doi.org/10.1155/2014/138087 |
| spellingShingle | Yinwei Lin Hsiang-Wen Tang Cha’o-Kuang Chen Modified Differential Transform Method for Two Singular Boundary Values Problems Journal of Applied Mathematics |
| title | Modified Differential Transform Method for Two Singular Boundary Values Problems |
| title_full | Modified Differential Transform Method for Two Singular Boundary Values Problems |
| title_fullStr | Modified Differential Transform Method for Two Singular Boundary Values Problems |
| title_full_unstemmed | Modified Differential Transform Method for Two Singular Boundary Values Problems |
| title_short | Modified Differential Transform Method for Two Singular Boundary Values Problems |
| title_sort | modified differential transform method for two singular boundary values problems |
| url | http://dx.doi.org/10.1155/2014/138087 |
| work_keys_str_mv | AT yinweilin modifieddifferentialtransformmethodfortwosingularboundaryvaluesproblems AT hsiangwentang modifieddifferentialtransformmethodfortwosingularboundaryvaluesproblems AT chaokuangchen modifieddifferentialtransformmethodfortwosingularboundaryvaluesproblems |