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A numerical study using finite element method for generalized Rosenau-Kawahara-RLW equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 1، دوره 7، شماره 3، مهر 2019، صفحه 319-333 اصل مقاله (201.5 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Seydi Battal Gazi Karakoc* 1؛ Samir Kumar Bhowmik2؛ Fuzheng Gao3 | ||
| 1Department of Mathematics, Faculty of Science and Art, Nevsehir Haci Bektas Veli University, 50300 Nevsehir, Turkey | ||
| 2Department of Mathematics, University of Dhaka, 1000 Dhaka, Bangladesh | ||
| 3School of Mathematics, Shandong University, Shanda Nanlu 27, Jinan 250100, Shandong, P. R. China | ||
| چکیده | ||
| In this paper, we are going to obtain the soliton solution of the generalized Rosenau-Kawahara-RLW equation that describes the dynamics of shallow water waves in oceans and rivers. We confirm that our new algorithm is energy-reserved and unconditionally stable. In order to determine the performance of our numerical algorithm, we have computed the error norms $L_{2}$ and $L_{\infty }$. Convergence of full discrete scheme is firstly studied. Numerical experiments are implemented to validate the energy conservation and effectiveness for longtime simulation. The obtained numerical results have been compared with a study in the literature for similar parameters. This comparison clearly shows that our results are much better than the other results. | ||
| کلیدواژهها | ||
| Generalized Rosenau-Kawahara-RLW equation؛ Finite element method؛ Collocation | ||
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