Uçar, YusufYağmurlu, N. MuratÇelikkaya, İhsan2021-05-072021-05-072020UÇAR 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.5986352147-6268https://doi.org/10.36753/MATHENOT.598635https://hdl.handle.net/11616/33592https://search.trdizin.gov.tr/yayin/detay/400243Abstract: 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.trinfo:eu-repo/semantics/openAccessArticle81294510.36753/MATHENOT.598635400243