Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/141483
Title: | Fourier spectral exponential time-differencing method for space-fractional generalized wave equations |
Authors: | Mohammadi, S. Fardi, M. Ghasemi, M. Hendy, A. S. Zaky, M. A. |
Issue Date: | 2024 |
Publisher: | Springer |
Citation: | Mohammadi, S., Fardi, M., Ghasemi, M., Hendy, A. S., & Zaky, M. (2024). Fourier spectral exponential time-differencing method for space-fractional generalized wave equations. Optical and Quantum Electronics, 56(7), [1254]. https://doi.org/10.1007/s11082-024-07004-3 |
Abstract: | This manuscript deals with a space-fractional generalized wave problem involving the fractional Laplacian operator of order α for 1<α≤2. We propose an accurate numerical method to solve the mentioned fractional wave problem. The problem is discretized in spatial direction by the Fourier spectral method, and in temporal direction by using the fourth-order exponential time-differencing Runge–Kutta method. One of the main features of this method is reducing the mentioned fractional wave model to an ODE by using the Fourier transform. Then the fourth-order exponential time-differencing Runge–Kutta method is used to solve this ODE. We define the discrete energy function and check the energy-conserving properties. The convergence of this method is proved. Various numerical experiments are conducted to confirm the accuracy and dependability of the suggested approach. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024. |
Keywords: | CONVERGENCE FOURIER SPECTRAL METHOD FOURTH-ORDER EXPONENTIAL RUNGE–KUTTA METHOD FRACTIONAL LAPLACIAN OPERATOR GENERALIZED WAVE EQUATION FOURIER TRANSFORMS LAPLACE TRANSFORMS MATHEMATICAL OPERATORS NUMERICAL METHODS ORDINARY DIFFERENTIAL EQUATIONS RUNGE KUTTA METHODS CONVERGENCE EXPONENTIALS FOURIER FOURIER SPECTRAL METHOD FOURTH-ORDER FOURTH-ORDER EXPONENTIAL RUNGE–KUTTUM METHOD FRACTIONAL LAPLACIAN OPERATORS GENERALIZED WAVE EQUATION SPECTRAL METHODS WAVE PROBLEMS WAVE EQUATIONS |
URI: | http://elar.urfu.ru/handle/10995/141483 |
Access: | info:eu-repo/semantics/openAccess cc-by |
SCOPUS ID: | 85197370784 |
WOS ID: | 001258136300005 |
PURE ID: | 59698670 |
ISSN: | 1572-817X |
DOI: | 10.1007/s11082-024-07004-3 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2-s2.0-85197370784.pdf | 647,52 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.