O. E. HEPSON, A. KORKMAZ, I. DAG

3824

EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION

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 uxxx 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.
Keywords:

KdV-Burgers Equation Extended cubic B-spline, collocation, motion of waves.,

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TWMS Journal of Applied and Engineering Mathematics-Cover
  • ISSN: 2146-1147
  • Başlangıç: 2010
  • Yayıncı: Turkic World Mathematical Society
Arşiv
Sayıdaki Diğer Makaleler

T. M. ALİEV, E. A. IBAYEV, V. M. MAMEDOV

A. TUNA

C. BAYINDIR

S. NAZ, S. ASHRAF, H. RASHMANLOU

I. Kusbeyzı AYBAR

M. I. BOSMİA, K. K. KANANİ

P. ARİSTOTLE, S. BALAMURUGAN, P. P. LAKSHMİ, V. SWAMİNATHAN

M. TOGAN, A. YURTTAS, A. S. CEVİK, I. N. CANGUL

M. B. KANDEMİR

Mustafa AVCI