Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/395

Browse

Filters

20171

Settings

Has files: NoPublisher: search.filters.publisher.Kent State University

Search Results

Now showing 1 - 1 of 1
  • Article
    Citation - WoS: 20
    Citation - Scopus: 21
    Application of the Collocation Method With B-Splines to the GEW Equation
    (Kent State University, 2017) Zeybek, Halil; Karakoc, S. Battal Gazi
    In this paper, the generalized equal width (GEW) wave equation is solved numerically by using a quintic B-spline collocation algorithm with two different linearization techniques. Also, a linear stability analysis of the numerical scheme based on the von Neumann method is investigated. The numerical algorithm is applied to three test problems consisting of a single solitary wave, the interaction of two solitary waves, and a Maxwellian initial condition. In order to determine the performance of the numerical method, we compute the error in the L-2- and L-infinity- norms and in the invariants I-1, I-2, and I-3 of the GEW equation. These calculations are compared with earlier studies. Afterwards, the motion of solitary waves according to different parameters is designed.