Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model
The fractional population diffusion model is crucial for pest prevention. This paper presents an adaptive hierarchical collocation method for solving this model, enhancing the efficiency of algorithms based on Low-Complexity Shannon-Cosine wavelet derived from combinatorial identity theory. This fun...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/2323418 |
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| _version_ | 1832547199045599232 |
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| author | Linqiang Yang Yafei Liu Hongmei Ma Xue Liu Shuli Mei |
| author_facet | Linqiang Yang Yafei Liu Hongmei Ma Xue Liu Shuli Mei |
| author_sort | Linqiang Yang |
| collection | DOAJ |
| description | The fractional population diffusion model is crucial for pest prevention. This paper presents an adaptive hierarchical collocation method for solving this model, enhancing the efficiency of algorithms based on Low-Complexity Shannon-Cosine wavelet derived from combinatorial identity theory. This function, an improvement over previous constructs, mitigates the need for iterative computation of parameters and boasts advantages like interpolation, symmetry, and compact support. The method’s extension to other time-fractional partial differential equations (PDEs) is also possible. The algorithm’s complexity analysis illustrates the concise function’s efficiency advantage over the original expression when solving time-fractional PDEs. Comparatively, the method exhibits superior numerical performance to alternative wavelet spectral methods like the Shannon–Gabor wavelet. |
| format | Article |
| id | doaj-art-1291cc9666bb4b3bbc000484ed35288d |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1291cc9666bb4b3bbc000484ed35288d2025-02-03T06:45:31ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/2323418Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion ModelLinqiang Yang0Yafei Liu1Hongmei Ma2Xue Liu3Shuli Mei4College of Information and Electrical EngineeringCollege of Information and Electrical EngineeringYantai Research InstituteCollege of Information and Electrical EngineeringCollege of Information and Electrical EngineeringThe fractional population diffusion model is crucial for pest prevention. This paper presents an adaptive hierarchical collocation method for solving this model, enhancing the efficiency of algorithms based on Low-Complexity Shannon-Cosine wavelet derived from combinatorial identity theory. This function, an improvement over previous constructs, mitigates the need for iterative computation of parameters and boasts advantages like interpolation, symmetry, and compact support. The method’s extension to other time-fractional partial differential equations (PDEs) is also possible. The algorithm’s complexity analysis illustrates the concise function’s efficiency advantage over the original expression when solving time-fractional PDEs. Comparatively, the method exhibits superior numerical performance to alternative wavelet spectral methods like the Shannon–Gabor wavelet.http://dx.doi.org/10.1155/2023/2323418 |
| spellingShingle | Linqiang Yang Yafei Liu Hongmei Ma Xue Liu Shuli Mei Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model Journal of Mathematics |
| title | Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model |
| title_full | Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model |
| title_fullStr | Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model |
| title_full_unstemmed | Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model |
| title_short | Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model |
| title_sort | adaptive hierarchical collocation method for solving fractional population diffusion model |
| url | http://dx.doi.org/10.1155/2023/2323418 |
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