Quartic B-spline Differential Quadrature Method for Solving the Extended Fisher-Kolmogorov Equation

Some numerical solutions of the extended Fisher-Kolmogorov(EFK) equation have been obtained via quartic B-spline differential quadrature method(DQM). 2ndorder weighting coefficients are obtained directly by quartic B-splines. Since the 4thorder derivatives of quartic B-splines do not exist, the 4thorder weighting coefficients have been obtained by matrix multiplication approach. After the discretization of the eFK equation via DQM, ordinary differential equation systems have been obtained and strong stability preserving Runge-Kutta method has been used for time integration. To be able to control the accuracy of the method three test problems have been solved and error norms L2and L∞are calculated