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Galerkin method for the numerical solution of the RLW equation using quintic B-splines
Authors:&#x;dris Da  Bülent Saka  Dursun Irk
Institution:

aComputer Engineering Department, Osmangazi University, 26480 Eskişehir, Türkiye

bMathematics Department, Osmangazi University, 26480 Eskişehir, Türkiye

Abstract:The regularized long wave equation (RLW) is solved numerically by using the quintic B-spline Galerkin finite element method. The same method is applied to the time-split RLW equation. Comparison is made with both analytical solutions and some previous results. Propagation of solitary waves, interaction of two solitons are studied.
Keywords:Finite elements  Galerkin  Splines  Solitary waves
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