科研之友
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摘要
In this paper, the quintic B-spline collocation scheme is employed to approximate numerical solution of the KdVlike Rosenau equation. This scheme is based on the Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The unconditional stability of the present method is proved using Von Neumann approach. Since we do not know the exact solution of the nonlinear KdV-like Rosenau equation, a comparison between the numerical solutions on a coarse mesh and those on a refine mesh is made to show the efficiency of discussed method.
- 出版日期2015
