| dc.contributor.advisor | Holden, Helge | nb_NO |
| dc.contributor.author | Fiksdal, Geir Midgard | nb_NO |
| dc.date.accessioned | 2014-12-19T14:00:06Z | |
| dc.date.available | 2014-12-19T14:00:06Z | |
| dc.date.created | 2013-04-21 | nb_NO |
| dc.date.issued | 2013 | nb_NO |
| dc.identifier | 617038 | nb_NO |
| dc.identifier | ntnudaim:8553 | nb_NO |
| dc.identifier.uri | http://hdl.handle.net/11250/259142 | |
| dc.description.abstract | In this thesis, we compare four numerical methods for solving the Benjamin-Ono equation. The numerical methods are presented in detail, and we compare them for different test problems. We derive the Hirota bilinear form of the Benjamin-Ono equation, and present spatially periodic exact solutions. The best numerical method is Chan and Kerkhoven's Semi-Implicit Fourier pseudospectral method, originally intended for the Korteweg-de Vries equation. In the last chapter, we study the zero dispersion limit for the Korteweg-de Vries and Benjamin-Ono equation. We observe that the small dispersion term forces the shock formation in the solution to become travelling waves. | nb_NO |
| dc.language | eng | nb_NO |
| dc.publisher | Institutt for matematiske fag | nb_NO |
| dc.title | Numerical Methods for the Benjamin-Ono Equation | nb_NO |
| dc.type | Master thesis | nb_NO |
| dc.source.pagenumber | 79 | nb_NO |
| dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |
