Numerical Solution of Burger’s Type Equation Using Finite Element Collocation Method with Strang Splitting
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Tarih
2020
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Kaynak
Mathematical Sciences and Applications E-Notes
WoS Q Değeri
Scopus Q Değeri
Cilt
8
Sayı
1
Künye
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
