QUINTIC B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF THE EXTENDED FISHER-KOLMOGOROV EQUATION

In this paper, numerical solutions of the extended Fisher-Kolmogorov equation are obtained by using the quintic B-spline collocation scheme. The scheme is based on the Crank–Nicolson formulation for time integration and quintic B-spline functions for space integration. The accuracy of the proposed method is demonstrated by three test problems. The scheme has second order convergence.

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