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https://hdl.handle.net/11499/56707
Title: | New semi-analytical solution of fractional Newell–Whitehead–Segel equation arising in nonlinear optics with non-singular and non-local kernel derivative | Authors: | Maghsoudi-Khouzani, S. Kurt, A. |
Keywords: | Adomian decomposition method Caputo–Fabrizio derivative Laplace transformation Newell–Whitehead–Segel equation Semi-analytical solutions Laplace transforms Nonlinear equations Adomian decomposition Adomian Decomposition Method Caputo–fabrizio derivative Decomposition technique Laplace transformations Local kernel Newell–whitehead–segel equation Nonlocal Semi-analytical solution Singular kernel Nonlinear optics |
Publisher: | Springer | Abstract: | In this paper, a combined form of Laplace transform is applied with the Adomian Decomposition technique for the first time to obtain new semi-analytical solutions of the fractional Newell–Whitehead–Segel equation which is a model arising in nonlinear optics with Caputo–Fabrizio derivative which involves non-singular and non-local kernels in its definition. The obtained results by the suggested method are compared with exact solutions, as a result of remarkable concurrence between the acquired results and the exact proposed method and the exacted solutions. Plotted graphs and given tables illustrate the efficiency and accuracy of the proposed technique. All the calculations are made by the computer software called MAPLE and Mathematica. © 2024, The Author(s). | URI: | https://doi.org/10.1007/s11082-023-06126-4 https://hdl.handle.net/11499/56707 |
ISSN: | 0306-8919 |
Appears in Collections: | Fen Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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