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Numerical solution of the Rosenau equation using quintic collocation B-spline method | ||
| Iranian Journal of Science | ||
| مقاله 6، دوره 39، شماره 3، آذر 2015، صفحه 281-288 اصل مقاله (759.13 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3152 | ||
| نویسندگان | ||
| Rasoul Abazari* 1؛ Reza Abazari2 | ||
| 1Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran | ||
| 2Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Rosenau equation؛ Quintic B-spline method؛ Crank-Nicolson scheme؛ Thomas algorithm | ||
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