Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique
This article proposed an efficient numerical technique for the solution of (2+1) dimensional Sobolev and regularized long wave equations that arise in fluid mechanics using the Laguerre wavelet collocation method. Five examples are illustrated to inspect the proposed technique efficiency, and conver...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818120300164 |
| _version_ | 1819138835941949440 |
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| author | Kumbinarasaiah S. |
| author_facet | Kumbinarasaiah S. |
| author_sort | Kumbinarasaiah S. |
| collection | DOAJ |
| description | This article proposed an efficient numerical technique for the solution of (2+1) dimensional Sobolev and regularized long wave equations that arise in fluid mechanics using the Laguerre wavelet collocation method. Five examples are illustrated to inspect the proposed technique efficiency, and convergence analysis is discussed in terms of a theorem. Here, the Sobolev and regularized long wave equations are converted into a system of algebraic equations using the properties of Laguerre wavelet, and solutions obtained by the proposed scheme are more accurate, and they are compared with the analytical solution and other methods in the literature by calculating L2and L∞Errors. |
| first_indexed | 2024-12-22T11:13:05Z |
| format | Article |
| id | doaj.art-848bba80a5b34584a87f75fdc4be060c |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-12-22T11:13:05Z |
| publishDate | 2021-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-848bba80a5b34584a87f75fdc4be060c2022-12-21T18:28:06ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812021-06-013100016Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet techniqueKumbinarasaiah S.0Department of Mathematics, Bangalore University, Bengaluru 560 056, IndiaThis article proposed an efficient numerical technique for the solution of (2+1) dimensional Sobolev and regularized long wave equations that arise in fluid mechanics using the Laguerre wavelet collocation method. Five examples are illustrated to inspect the proposed technique efficiency, and convergence analysis is discussed in terms of a theorem. Here, the Sobolev and regularized long wave equations are converted into a system of algebraic equations using the properties of Laguerre wavelet, and solutions obtained by the proposed scheme are more accurate, and they are compared with the analytical solution and other methods in the literature by calculating L2and L∞Errors.http://www.sciencedirect.com/science/article/pii/S2666818120300164(2+1) dimensional Sobolev equation(2+1) dimensional regularized long-wave equationCollocation methodLaguerre wavelet |
| spellingShingle | Kumbinarasaiah S. Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique Partial Differential Equations in Applied Mathematics (2+1) dimensional Sobolev equation (2+1) dimensional regularized long-wave equation Collocation method Laguerre wavelet |
| title | Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique |
| title_full | Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique |
| title_fullStr | Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique |
| title_full_unstemmed | Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique |
| title_short | Numerical solution for the (2+1) dimensional Sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique |
| title_sort | numerical solution for the 2 1 dimensional sobolev and regularized long wave equations arise in fluid mechanics via wavelet technique |
| topic | (2+1) dimensional Sobolev equation (2+1) dimensional regularized long-wave equation Collocation method Laguerre wavelet |
| url | http://www.sciencedirect.com/science/article/pii/S2666818120300164 |
| work_keys_str_mv | AT kumbinarasaiahs numericalsolutionforthe21dimensionalsobolevandregularizedlongwaveequationsariseinfluidmechanicsviawavelettechnique |