Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions
The Pravin method for Hankel transforms is based on the decomposition of kernel function with exponential function. The defect of such method is the difficulty in its parameters determination and lack of adaptability to kernel function especially using monotonically decreasing functions to approxima...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/105469 |
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| _version_ | 1832562567852064768 |
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| author | Huaiqing Zhang Yu Chen Xin Nie |
| author_facet | Huaiqing Zhang Yu Chen Xin Nie |
| author_sort | Huaiqing Zhang |
| collection | DOAJ |
| description | The Pravin method for Hankel transforms is based on the decomposition of kernel function with exponential function. The defect of such method is the difficulty in its parameters determination and lack of adaptability to kernel function especially using monotonically decreasing functions to approximate the convex ones. This thesis proposed an improved scheme by adding new base function in interpolation procedure. The improved method maintains the merit of Pravin method which can convert the Hankel integral to algebraic calculation. The simulation results reveal that the improved method has high precision, high efficiency, and good adaptability to kernel function. It can be applied to zero-order and first-order Hankel transforms. |
| format | Article |
| id | doaj-art-d8655e5cf42f43a5beaec7dffaccc9be |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d8655e5cf42f43a5beaec7dffaccc9be2025-02-03T01:22:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/105469105469Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential FunctionsHuaiqing Zhang0Yu Chen1Xin Nie2The State Key Laboratory of Transmission Equipment and System Safety and Electrical New Technology, Chongqing 400044, ChinaThe State Key Laboratory of Transmission Equipment and System Safety and Electrical New Technology, Chongqing 400044, ChinaThe State Key Laboratory of Transmission Equipment and System Safety and Electrical New Technology, Chongqing 400044, ChinaThe Pravin method for Hankel transforms is based on the decomposition of kernel function with exponential function. The defect of such method is the difficulty in its parameters determination and lack of adaptability to kernel function especially using monotonically decreasing functions to approximate the convex ones. This thesis proposed an improved scheme by adding new base function in interpolation procedure. The improved method maintains the merit of Pravin method which can convert the Hankel integral to algebraic calculation. The simulation results reveal that the improved method has high precision, high efficiency, and good adaptability to kernel function. It can be applied to zero-order and first-order Hankel transforms.http://dx.doi.org/10.1155/2014/105469 |
| spellingShingle | Huaiqing Zhang Yu Chen Xin Nie Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions Journal of Applied Mathematics |
| title | Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions |
| title_full | Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions |
| title_fullStr | Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions |
| title_full_unstemmed | Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions |
| title_short | Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions |
| title_sort | fast hankel transforms algorithm based on kernel function interpolation with exponential functions |
| url | http://dx.doi.org/10.1155/2014/105469 |
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