Galerkin method for the numerical solution of the RLW equation using quintic B-splines

Authors:
Idris Daǧ;Bülent Saka;Dursun Irk
Affiliations:
Computer Engineering Department, Osmangazi University, Eskisehir, Türkiye;Mathematics Department, Osmangazi University, Eskisehir, Türkiye;Mathematics Department, Osmangazi University, Eskisehir, Türkiye
Venue:
Journal of Computational and Applied Mathematics - Special issue: International conference on mathematics and its application
Year:
2006

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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.