%0 Journal Article
%T A numerical study using finite element method for generalized Rosenau-Kawahara-RLW equation
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Gazi Karakoc, Seydi Battal
%A Kumar Bhowmik, Samir
%A Gao, Fuzheng
%D 2019
%\ 07/01/2019
%V 7
%N 3
%P 319-333
%! A numerical study using finite element method for generalized Rosenau-Kawahara-RLW equation
%K Generalized Rosenau-Kawahara-RLW equation
%K finite element method
%K Collocation
%R
%X 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.
%U https://cmde.tabrizu.ac.ir/article_9009_e78145fd7e6ec1e1f3ca8e75b6693211.pdf