Extended B-spline collocation method for KDV-Burgers equation
Künye
Ersoy Hepson, Ö., Korkmaz, A. & Dağ, İ. (2019). Extended B-spline collocation method for KDV-Burgers equation. TWMS Journal of Applied and Engineering Mathematics, 9(2), 267-278.Özet
The extended form of the classical polynomial cubic B-spline function is used to set up a collocation method for some initial boundary value problems derived for the Korteweg-de Vries-Burgers equation. Having nonexistence of third order derivatives of the cubic B-splines forces us to reduce the order of the term uᵪᵪᵪ to give a coupled system of equations. The space discretization of this system is accomplished by the collocation method following the time discretization with Crank-Nicolson method. Two initial boundary value problems, one having analytical solution and the other is set up with a non analytical initial condition, have been simulated by the proposed method.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
9Sayı
2Bağlantı
http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2715http://jaem.isikun.edu.tr/web/index.php/archive/101-vol9no2/406
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