Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets
ABSTRACTIn this paper, we present an effective method under Taylor wavelets and collocation technique to find an approximate solution of linear and non-linear second-order singular value differential equations. Application of this method on various problems confirms the efficiency, easy applicabilit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Journal of Taibah University for Science |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2023.2241716 |
| _version_ | 1797215159428579328 |
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| author | Vivek Manoj Kumar S. N. Mishra |
| author_facet | Vivek Manoj Kumar S. N. Mishra |
| author_sort | Vivek |
| collection | DOAJ |
| description | ABSTRACTIn this paper, we present an effective method under Taylor wavelets and collocation technique to find an approximate solution of linear and non-linear second-order singular value differential equations. Application of this method on various problems confirms the efficiency, easy applicability, and rapid computation. The obtained solution is compared with some other existing numerical solutions. For many problems, this method gives a solution same as the exact solution of the problem which confirms the effectiveness and accuracy of this method. Additionally, we include graphs and figures to demonstrate that the Taylor wavelet method offers better accuracy for a number of problems. MATLAB software is used to process relative data and execute calculations. |
| first_indexed | 2024-03-10T08:13:41Z |
| format | Article |
| id | doaj.art-6d1f169ee9e740b8b878acd22f2b116e |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-04-24T11:25:38Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-6d1f169ee9e740b8b878acd22f2b116e2024-04-10T20:17:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552023-12-0117110.1080/16583655.2023.2241716Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor waveletsVivekManoj Kumar0S. N. Mishra1Applied Sciences and Humanities Department, Institute of Engineering and Technology, An Autonomous Constituent Institute of Dr. A.P.J. Abdul Kalam, Technical University, Lucknow, IndiaApplied Sciences and Humanities Department, Institute of Engineering and Technology, An Autonomous Constituent Institute of Dr. A.P.J. Abdul Kalam, Technical University, Lucknow, IndiaABSTRACTIn this paper, we present an effective method under Taylor wavelets and collocation technique to find an approximate solution of linear and non-linear second-order singular value differential equations. Application of this method on various problems confirms the efficiency, easy applicability, and rapid computation. The obtained solution is compared with some other existing numerical solutions. For many problems, this method gives a solution same as the exact solution of the problem which confirms the effectiveness and accuracy of this method. Additionally, we include graphs and figures to demonstrate that the Taylor wavelet method offers better accuracy for a number of problems. MATLAB software is used to process relative data and execute calculations.https://www.tandfonline.com/doi/10.1080/16583655.2023.2241716 |
| spellingShingle | Vivek Manoj Kumar S. N. Mishra Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets Journal of Taibah University for Science |
| title | Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets |
| title_full | Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets |
| title_fullStr | Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets |
| title_full_unstemmed | Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets |
| title_short | Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets |
| title_sort | solution of linear and nonlinear singular value problems using operational matrix of integration of taylor wavelets |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2023.2241716 |
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