Numerical Solution of Burger’s Type Equation Using Finite Element Collocation Method with Strang Splitting
| dc.contributor.author | Uçar, Yusuf | |
| dc.contributor.author | Yağmurlu, N. Murat | |
| dc.contributor.author | Çelikkaya, İhsan | |
| dc.date.accessioned | 2021-05-07T10:37:00Z | |
| dc.date.available | 2021-05-07T10:37:00Z | |
| dc.date.issued | 2020 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | Abstract: The nonlinear Burgers equation, which has a convection term, a viscosity term and a time dependent term in its structure, has been split according to the time term and then has been solved by finite element collocation method using cubic B-spline bases. By splitting the equation Ut + UUx = vUxx into two simpler sub problems Ut + UUx = 0 and Ut ? vUxx = 0 have been obtained. A discretization process has been performed for each of these sub-problems and the stability analyzes have been carried out by Fourier (von Neumann) series method. Then, both sub-problems have been solved using the Strang splitting technique to obtain numerical results. To see the effectiveness of the present method, which is a combination of finite element method and Strang splitting technique, we have calculated the frequently used error norms kek1 , L2 and L? in the literature and have made a comparison between exact and a numerical solution. | en_US |
| dc.identifier.citation | UÇAR Y,YAĞMURLU N. M,ÇELİKKAYA I (2020). Numerical Solution of Burger’s Type Equation Using Finite Element Collocation Method with Strang Splitting. Mathematical Sciences and Applications E-Notes, 8(1), 29 - 45. Doi: 10.36753/MATHENOT.598635 | en_US |
| dc.identifier.doi | 10.36753/MATHENOT.598635 | en_US |
| dc.identifier.endpage | 45 | en_US |
| dc.identifier.issn | 2147-6268 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 29 | en_US |
| dc.identifier.trdizinid | 400243 | en_US |
| dc.identifier.uri | https://doi.org/10.36753/MATHENOT.598635 | |
| dc.identifier.uri | https://hdl.handle.net/11616/33592 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/400243 | |
| dc.identifier.volume | 8 | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | tr | en_US |
| dc.relation.ispartof | Mathematical Sciences and Applications E-Notes | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Numerical Solution of Burger’s Type Equation Using Finite Element Collocation Method with Strang Splitting | en_US |
| dc.type | Article | en_US |
