Sinc collocation method for solving the Benjamin-Ono equation
| dc.contributor.author | Pindza, Edson | |
| dc.contributor.author | Mare, Eben | |
| dc.contributor.editor | Benim, Ali Cemal | |
| dc.contributor.email | eben.mare@up.ac.za | en_ZA |
| dc.date.accessioned | 2015-06-04T06:58:43Z | |
| dc.date.available | 2015-06-04T06:58:43Z | |
| dc.date.issued | 2014-07-23 | |
| dc.description.abstract | We propose a simple, though powerful, technique for numerical solutions of the Benjamin-Ono equation. This approach is based on a global collocation method using Sinc basis functions. Some properties of the Sinc collocation method required for our subsequent development are given and utilized to reduce the computation of the Benjamin-Ono equation to a system of ordinary differential equations.The propagation of one soliton and the interaction of two solitons are used to validate our numericalmethod.Themethod is easy to implement and yields accurate results. | en_ZA |
| dc.description.librarian | am2015 | en_ZA |
| dc.description.sponsorship | Edson Pindza is thankful to Brad Welch for the financial support from RidgeCape Capital. | en_ZA |
| dc.description.uri | http://www.hindawi.com/journals/jcmp/ | en_ZA |
| dc.identifier.citation | Pindza, E & Mare, E 2014, 'Sinc collocation method for solving the Benjamin-Ono equation', Journal of Computational Methods in Physics, vol. 2014, no. 392962, pp. 1-8. | en_ZA |
| dc.identifier.issn | 2356-7287 (print) | |
| dc.identifier.issn | 2314-6834 (online) | |
| dc.identifier.other | 10.1155/2014/392962 | |
| dc.identifier.uri | http://hdl.handle.net/2263/45399 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Hindawi Publishing | en_ZA |
| dc.rights | © 2014 E. Pindza and E. Mare. This is an open access article distributed under the Creative Commons Attribution License. | en_ZA |
| dc.subject | Benjamin-Ono equation | en_ZA |
| dc.subject | Sinc collocation method | en_ZA |
| dc.subject | Differential equations | en_ZA |
| dc.subject | Numerical solutions | en_ZA |
| dc.title | Sinc collocation method for solving the Benjamin-Ono equation | en_ZA |
| dc.type | Article | en_ZA |