numerical solution of the rosenau equation using quintic collocation b-spline method
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abstract
in this paper , the quintic b-spline collocation scheme is employed to approximate numerical solution of the kdv-like 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.
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Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 39
issue 3 2015
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