Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4979
Title: On the numerical solution of Korteweg-de Vries equation by the iterative splitting method
Authors: Gücüyenen, Nurcan
Tanoğlu, Gamze
Keywords: Iterative methods
Iterative splitting method
KdV equation
Nonlinear wave equation
Issue Date: Oct-2011
Publisher: Elsevier Ltd.
Source: Gücüyenen, N., and Tanoğlu, G. (2011). On the numerical solution of Korteweg-de Vries equation by the iterative splitting method. Applied Mathematics and Computation, 218(3), 777-782. doi:10.1016/j.amc.2011.03.084
Abstract: In this paper, we apply the method of iterative operator splitting on the Korteweg-de Vries (KdV) equation. The method is based on first, splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes and solved with suitable integrators. Von Neumann analysis is performed to achieve stability criteria for the proposed method applied to the KdV equation. The numerical results obtained by iterative splitting method for various initial conditions are compared with the exact solutions. It is seen that they are in a good agreement with each other. © 2011 Elsevier Inc. All rights reserved.
URI: http://doi.org/10.1016/j.amc.2011.03.084
http://hdl.handle.net/11147/4979
ISSN: 0096-3003
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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