A collocation algorithm based on quintic B-splines for the solitary wave simulation of the GRLW equation
نویسندگان
1 Department of Mechanical Engineering, Tarbiat Modares University, Tehran, P.O. Box 1411713116, Iran.
2 Department of Mechanical Engineering, University of Ayatollah Ozma Boroujerdy, Boroujerd, P.O. Box 6919969411, Iran.
3 TSI France, Hotel Technologique, Technop^ole de Ch^ateau-Gombert, 13382 Marseille, France.
4 Department of Mechanical Engineering, Foolad Institute of Technology, Fooladshahr, Isfahan, P.O. Box 8491663763, Iran.
5 LAMIH, CNRS UMR 8201, University of Valenciennes and Hainaut-Cambresis (UVHC), Campus Mont Houy, Building Gromaire, F-59313, Valenciennes Cedex 9, France.
6 rue de la houssiniere BP 92208, 44322 Nantes Cedex 03, France.
doi
10.24200/sci.2018.20781چکیده
In this article, a collocation algorithm based on quintic B-splines is proposed for the numerical solution of the non-linear generalized regularized long wave (GRLW) equation. Also, to analyse the linear stability of the numerical scheme, the von-Neumann technique is used. The numerical approach is discussed on three test examples consisting of a single solitary wave, the collision of two solitary waves and the growth of an undular bore. The accuracy of the method is demonstrated by calculating the error in the L2 and L¥ norms and the conservative quantities I1, I2 and I3. The findings are compared with those of previously reported in the literature. Finally, the motion of solitary waves is graphically plotted according to different parameters.
