A haar wavelet series solution of heat equation with involution
It is well known that the wavelets have widely applied to solve mathematical problems connected with the differential and integral equations. The application of the wavelets possess several important properties, such as orthogonality, compact support, exact representation of polynomials at certain d...
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| Format: | Article |
| Language: | English |
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Akademi Baru
2021
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| Online Access: | http://umpir.ump.edu.my/id/eprint/32656/1/A%20haar%20wavelet%20series%20solution%20of%20heat%20equation.pdf |
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| author | Saparova, Burma Mamytova, Roza Kurbanbaeva, Nurjamal Ahmedov, Anvarjon A. |
| author_facet | Saparova, Burma Mamytova, Roza Kurbanbaeva, Nurjamal Ahmedov, Anvarjon A. |
| author_sort | Saparova, Burma |
| collection | UMP |
| description | It is well known that the wavelets have widely applied to solve mathematical problems connected with the differential and integral equations. The application of the wavelets possess several important properties, such as orthogonality, compact support, exact representation of polynomials at certain degree and the ability to represent functions on different levels of resolution. In this paper, new methods based on wavelet expansion are considered to solve problems arising in approximation of the solution of heat equation with involution. We have developed new numerical techniques to solve heat equation with involution and obtained new approximative representation for solution of heat equations. |
| first_indexed | 2024-03-06T12:53:32Z |
| format | Article |
| id | UMPir32656 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:53:32Z |
| publishDate | 2021 |
| publisher | Akademi Baru |
| record_format | dspace |
| spelling | UMPir326562022-01-06T04:28:16Z http://umpir.ump.edu.my/id/eprint/32656/ A haar wavelet series solution of heat equation with involution Saparova, Burma Mamytova, Roza Kurbanbaeva, Nurjamal Ahmedov, Anvarjon A. QA Mathematics It is well known that the wavelets have widely applied to solve mathematical problems connected with the differential and integral equations. The application of the wavelets possess several important properties, such as orthogonality, compact support, exact representation of polynomials at certain degree and the ability to represent functions on different levels of resolution. In this paper, new methods based on wavelet expansion are considered to solve problems arising in approximation of the solution of heat equation with involution. We have developed new numerical techniques to solve heat equation with involution and obtained new approximative representation for solution of heat equations. Akademi Baru 2021-10 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/32656/1/A%20haar%20wavelet%20series%20solution%20of%20heat%20equation.pdf Saparova, Burma and Mamytova, Roza and Kurbanbaeva, Nurjamal and Ahmedov, Anvarjon A. (2021) A haar wavelet series solution of heat equation with involution. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 86 (2). pp. 50-55. ISSN 2289-7879. (Published) https://doi.org/10.37934/arfmts.86.2.5055 https://doi.org/10.37934/arfmts.86.2.5055 |
| spellingShingle | QA Mathematics Saparova, Burma Mamytova, Roza Kurbanbaeva, Nurjamal Ahmedov, Anvarjon A. A haar wavelet series solution of heat equation with involution |
| title | A haar wavelet series solution of heat equation with involution |
| title_full | A haar wavelet series solution of heat equation with involution |
| title_fullStr | A haar wavelet series solution of heat equation with involution |
| title_full_unstemmed | A haar wavelet series solution of heat equation with involution |
| title_short | A haar wavelet series solution of heat equation with involution |
| title_sort | haar wavelet series solution of heat equation with involution |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/32656/1/A%20haar%20wavelet%20series%20solution%20of%20heat%20equation.pdf |
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