Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5111
Title: The convergence of a new symmetric iterative splitting method for non-autonomous systems
Authors: Tanoğlu, Gamze
Korkut, Sıla
Tanoğlu, Gamze
Korkut, Sıla
Izmir Institute of Technology. Mathematics
Keywords: Numerical analysis
Error bounds
Partial differential equations
Iterative splitting methods
Magnus series
Convergence analysis
Issue Date: Sep-2012
Publisher: Taylor and Francis Ltd.
Source: Tanoğlu, G., and Korkut, S. (2012). The convergence of a new symmetric iterative splitting method for non-autonomous systems. International Journal of Computer Mathematics, 89(13-14), 1837-1846. doi:10.1080/00207160.2012.687447
Abstract: The iterative splitting methods have been extensively applied to solve complicated systems of differential equations. In this process, we split the complex problem into several sub-problems, each of which can be solved sequentially. In this paper, we construct a new symmetric iterative splitting scheme based on the Magnus expansion for solving non-autonomous problems. We also study its convergence properties by using the concepts of stability, consistency, and order. Several numerical examples are illustrated to confirm the theoretical results by comparing frequently used methods. © 2012 Copyright Taylor and Francis Group, LLC.
URI: http://doi.org/10.1080/00207160.2012.687447
http://hdl.handle.net/11147/5111
ISSN: 0020-7160
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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