@article { author = {Abazari, Rasoul and Abazari, Reza}, title = {Numerical solution of the Rosenau equation using quintic collocation B-spline method}, journal = {Iranian Journal of Science}, volume = {39}, number = {3}, pages = {281-288}, year = {2015}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2015.3152}, 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. }, keywords = {Rosenau equation,Quintic B-spline method,Crank-Nicolson scheme,Thomas algorithm}, url = {https://ijsts.shirazu.ac.ir/article_3152.html}, eprint = {https://ijsts.shirazu.ac.ir/article_3152_24b12d2f43c2ad0b5b79e5eb4803e48b.pdf} }