Sinc collocation method for solving the Benjamin-Ono equation

dc.contributor.authorPindza, Edson
dc.contributor.authorMare, Eben
dc.contributor.editorBenim, Ali Cemal
dc.contributor.emaileben.mare@up.ac.zaen_ZA
dc.date.accessioned2015-06-04T06:58:43Z
dc.date.available2015-06-04T06:58:43Z
dc.date.issued2014-07-23
dc.description.abstractWe 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.librarianam2015en_ZA
dc.description.sponsorshipEdson Pindza is thankful to Brad Welch for the financial support from RidgeCape Capital.en_ZA
dc.description.urihttp://www.hindawi.com/journals/jcmp/en_ZA
dc.identifier.citationPindza, 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.issn2356-7287 (print)
dc.identifier.issn2314-6834 (online)
dc.identifier.other10.1155/2014/392962
dc.identifier.urihttp://hdl.handle.net/2263/45399
dc.language.isoenen_ZA
dc.publisherHindawi Publishingen_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.subjectBenjamin-Ono equationen_ZA
dc.subjectSinc collocation methoden_ZA
dc.subjectDifferential equationsen_ZA
dc.subjectNumerical solutionsen_ZA
dc.titleSinc collocation method for solving the Benjamin-Ono equationen_ZA
dc.typeArticleen_ZA

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