Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7048
Title: Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting
Authors: Zürnacı, Fatma
Gücüyenen Kaymak, Nurcan
Seydaoğlu, Muaz
Tanoğlu, Gamze
Keywords: Benjamin-Bona-Mahony equation
Convergence analysis
Lie-Trotter splitting
Issue Date: 2018
Publisher: TUBITAK
Source: Zürnacı, F., Gücüyenen Kaymak, N., Seydaoğlu, M., and Tanoğlu, G. (2018). Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting. Turkish Journal of Mathematics, 42(3), 1471-1483. doi:10.3906/mat-1603-94
Abstract: In this paper, an operator splitting method is used to analyze nonlinear Benjamin-Bona-Mahony-type equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then Lie-Trotter splitting is applied to the equation. The local error bounds are obtained by using the approach based on the differential theory of operators in a Banach space and the quadrature error estimates via Lie commutator bounds. The global error estimate is obtained via Lady Windermere's fan argument. Finally, to confirm the expected convergence order, numerical examples are studied.
URI: http://doi.org/10.3906/mat-1603-94
http://hdl.handle.net/11147/7048
https://search.trdizin.gov.tr/yayin/detay/348748
ISSN: 1300-0098
1303-6149
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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