A efficient analytical approach for nonlinear system of advanced Lorenz model
This work proposed a new analytical approach for solving a famous model from mathematical physics, namely, advanced Lorenz system. The method combines the Natural transform and Homotopy analysis method, and it’s have been suggested for the solution of different types of nonlinear systems of delay di...
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| Format: | Article |
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Lebanese University
2020
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| author | Barde, Aminu Maan, Normah |
| author_facet | Barde, Aminu Maan, Normah |
| author_sort | Barde, Aminu |
| collection | ePrints |
| description | This work proposed a new analytical approach for solving a famous model from mathematical physics, namely, advanced Lorenz system. The method combines the Natural transform and Homotopy analysis method, and it’s have been suggested for the solution of different types of nonlinear systems of delay differential equations. This technique gives solution in a series form where the He’s polynomial is adjusted for the series calculation of nonlinear terms of Lorenz system. By choosing an optimal value of auxiliary parameters the more precise approximate Solution of this model is obtained from only three iterations number of terms. Some figures are used to demonstrate the accuracy of the result based on the residual error function. Therefore, the approach gives rise to an easy and straightforward means of solving these models analytically. Hence, it can be used in finding solutions to other forms of nonlinear problems. |
| first_indexed | 2024-03-05T20:46:38Z |
| format | Article |
| id | utm.eprints-89081 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:46:38Z |
| publishDate | 2020 |
| publisher | Lebanese University |
| record_format | dspace |
| spelling | utm.eprints-890812021-02-03T11:15:13Z http://eprints.utm.my/89081/ A efficient analytical approach for nonlinear system of advanced Lorenz model Barde, Aminu Maan, Normah QA Mathematics This work proposed a new analytical approach for solving a famous model from mathematical physics, namely, advanced Lorenz system. The method combines the Natural transform and Homotopy analysis method, and it’s have been suggested for the solution of different types of nonlinear systems of delay differential equations. This technique gives solution in a series form where the He’s polynomial is adjusted for the series calculation of nonlinear terms of Lorenz system. By choosing an optimal value of auxiliary parameters the more precise approximate Solution of this model is obtained from only three iterations number of terms. Some figures are used to demonstrate the accuracy of the result based on the residual error function. Therefore, the approach gives rise to an easy and straightforward means of solving these models analytically. Hence, it can be used in finding solutions to other forms of nonlinear problems. Lebanese University 2020-05 Article PeerReviewed Barde, Aminu and Maan, Normah (2020) A efficient analytical approach for nonlinear system of advanced Lorenz model. International Journal of Mathematics and Computer Science, 14 (3). pp. 335-344. ISSN 1814-0424 https://readersinsight.net/SPS/article/view/1274/1028 |
| spellingShingle | QA Mathematics Barde, Aminu Maan, Normah A efficient analytical approach for nonlinear system of advanced Lorenz model |
| title | A efficient analytical approach for nonlinear system of advanced Lorenz model |
| title_full | A efficient analytical approach for nonlinear system of advanced Lorenz model |
| title_fullStr | A efficient analytical approach for nonlinear system of advanced Lorenz model |
| title_full_unstemmed | A efficient analytical approach for nonlinear system of advanced Lorenz model |
| title_short | A efficient analytical approach for nonlinear system of advanced Lorenz model |
| title_sort | efficient analytical approach for nonlinear system of advanced lorenz model |
| topic | QA Mathematics |
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