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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 |
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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