Galerkin finite element method based on quartic B‐splines is used to find a numerical solution of the regularized long wave equation. The method is tested on the problems of propagation of solitary waves, interaction of two and three solitary waves, undulation and wave generation. Comparisons are made with both analytical solutions and results of some published methods. Accuracy and efficiency of the scheme are discussed by computing numerical conserved laws and L 2 , L ∞ error norms.
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Saka et al. (2007) studied this question.
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