Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method
In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to discretize time derivative of the KdV equatio...
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| Format: | Article |
| Language: | English |
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Sultan Qaboos University
2015-12-01
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| Series: | Sultan Qaboos University Journal for Science |
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| Online Access: | https://journals.squ.edu.om/index.php/squjs/article/view/441 |
| _version_ | 1811301576915025920 |
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| author | Kamel Al-Khaled |
| author_facet | Kamel Al-Khaled |
| author_sort | Kamel Al-Khaled |
| collection | DOAJ |
| description | In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to discretize time derivative of the KdV equations by a classic finite difference formula, while the space derivatives are approximated by a weighted scheme. Sinc functions are used to solve these two equations. Soliton solutions are constructed to show the nature of the solution. The numerical results are shown to demonstrate the efficiency of the newly proposed method. |
| first_indexed | 2024-04-13T07:11:11Z |
| format | Article |
| id | doaj.art-5e836d68b3524356bb706b3b5d88cacd |
| institution | Directory Open Access Journal |
| issn | 1027-524X 2414-536X |
| language | English |
| last_indexed | 2024-04-13T07:11:11Z |
| publishDate | 2015-12-01 |
| publisher | Sultan Qaboos University |
| record_format | Article |
| series | Sultan Qaboos University Journal for Science |
| spelling | doaj.art-5e836d68b3524356bb706b3b5d88cacd2022-12-22T02:56:52ZengSultan Qaboos UniversitySultan Qaboos University Journal for Science1027-524X2414-536X2015-12-01202193010.24200/squjs.vol20iss2pp19-30436Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation MethodKamel Al-Khaled0Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box: 36, PC 123, Al-Khod, Muscat, Sultanate of Oman.In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to discretize time derivative of the KdV equations by a classic finite difference formula, while the space derivatives are approximated by a weighted scheme. Sinc functions are used to solve these two equations. Soliton solutions are constructed to show the nature of the solution. The numerical results are shown to demonstrate the efficiency of the newly proposed method.https://journals.squ.edu.om/index.php/squjs/article/view/441Nonlinear coupled KdV equationsSinc-collocation methodSoliton solutions. |
| spellingShingle | Kamel Al-Khaled Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method Sultan Qaboos University Journal for Science Nonlinear coupled KdV equations Sinc-collocation method Soliton solutions. |
| title | Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method |
| title_full | Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method |
| title_fullStr | Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method |
| title_full_unstemmed | Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method |
| title_short | Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method |
| title_sort | numerical wave solutions for nonlinear coupled equations using sinc collocation method |
| topic | Nonlinear coupled KdV equations Sinc-collocation method Soliton solutions. |
| url | https://journals.squ.edu.om/index.php/squjs/article/view/441 |
| work_keys_str_mv | AT kamelalkhaled numericalwavesolutionsfornonlinearcoupledequationsusingsinccollocationmethod |