In this paper, modified cubic B-spline based differential quadrature method (MCB-DQM) has been used to obtain the numerical solutions for the fourth order extended Fisher-Kolmogorov equation (EFK). After using DQM for discretization of the EFK equation, ordinary differential equation systems have been obtained. For time integration, strong stability preserving Runge-Kutta method has been used. Numerical solutions of the three test problems have been investigated. The efficiency and accuracy of the method have been measured by calculating error norms L-2 and L-infinity. The present obtained numerical results have been compared with the published numerical results and the comparison has shown that the method is an effective numerical scheme to solve the EFK equation.
C1 [Bashan, Ali] Zonguldak Bulent Ecevit Univ, Dept Math, Zonguldak, Turkey.
[Ucar, Yusuf; Yagmurlu, N. Murat; Esen, Alaattin] Inonu Univ, Dept Math, Malatya, Turkey.