Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6283
Title: An efficient iterative algorithm for solving non-linear oscillation problems
Authors: Korkut Uysal, Sıla Övgü
Tanoğlu, Gamze
Keywords: Convergence analysis
Exponential integrators
Iterative splitting method
Non-linear oscillation problems
Non-linear magnus integrator
Publisher: Faculty of Sciences and Mathematics, University of Nis
Source: Korkut Uysal, S. Ö., and Tanoğlu, G. (2017). An efficient iterative algorithm for solving non-linear oscillation problems. Filomat, 31(9), 2713-2726. doi:10.2298/FIL1709713K
Abstract: A new iterative method is presented for numerical solution of nonlinear evolutionary problems. The convergence properties of the proposed method are analysed in abstract framework by using the concepts of consistency, stability and order. Both the ϕ-functions and semigroup properties are used to overcome the presence of unboundedness of the operator. In order to confirm the theoretical results, the method is applied to three benchmark problems from the literature. The numerical results are compared with traditional splitting methods and confirm that the proposed method is more accurate as well as more efficient than the traditional splitting methods.
URI: http://hdl.handle.net/11147/6283
ISSN: 0354-5180
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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