Abstract:
The main purpose of this paper has been to compare the numerical results when the septic B-spline is used in the collocation method, and performance of the splitting technique in the numerical methods has been investigated. So numerical solutions of the Rosenau-KdV equation have been constructed by using the collocation method with septic B-splines as interpolation functions. The Rosenau-KdV equation is split both in space and in time. Those coupled systems of differential equations are also solved by way of the septic B-spline collocation method over uniform finite intervals.