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    Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method
    (Academic Publication Council, 2015) Karakoc, Seydi Battal Gazi; Ucar, Yusuf; Yagmurlu, Nurimurat
    In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave motion, interaction of two and three solitary waves have been studied to validate the proposed method. The three invariants (I-1, I-2, I-3) of the motion have been calculated to determine the conservation properties of the scheme. Error norms L-2 and L-infinity have been used to measure the differences between the exact and numerical solutions. Also, a linear stability analysis of the scheme is proposed.