Bilgisayar Bilimleri Fakültesi

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    Citation - Scopus: 25
    A Cubic B-Spline Galerkin Approach for the Numerical Simulation of the GEW Equation
    (International Academic Press, 2016) Karakoç, Seydi Battal Gazi; Zeybek, Halil; AGÜ; Zeybek, Halil; 01. Abdullah Gül University
    The generalized equal width (GEW) wave equation is solved numerically by using lumped Galerkin approach with cubic B-spline functions. The proposed numerical scheme is tested by applying two test problems including single solitary wave and interaction of two solitary waves. In order to determine the performance of the algorithm, the error norms L2 and L∞ and the invariants I1, I2 and I3 are calculated. For the linear stability analysis of the numerical algorithm, von Neumann approach is used. As a result, the obtained findings show that the presented numerical scheme is preferable to some recent numerical methods. © 2016 Elsevier B.V., All rights reserved.