Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/11557
Title: An efficient approach for solving nonlinear multidimensional Schrodinger equations
Authors: İmamoğlu Karabaş, Neslişah
Korkut, Sıla Övgü
Tanoğlu, Gamze
Aziz, Imran
Siraj-ul-Islam
Keywords: Cubic nonlinear Schrodinger equation
Meshless method
Frechet derivative
Issue Date: 2021
Publisher: Elsevier
Abstract: An efficient numerical method is proposed for the solution of the nonlinear cubic Schrodinger equation. The proposed method is based on the Frechet derivative and the meshless method with radial basis functions. An important characteristic of the method is that it can be extended from one-dimensional problems to multi-dimensional ones easily. By using the Frechet derivative and Newton-Raphson technique, the nonlinear equation is converted into a set of linear algebraic equations which are solved iteratively. Numerical examples reveal that the proposed method is efficient and reliable with respect to the accuracy and stability.
URI: https://doi.org/10.1016/j.enganabound.2021.07.009
https://hdl.handle.net/11147/11557
ISSN: 0955-7997
1873-197X
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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