Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain
Abstract: Due to the nonlocality of fractional derivatives, the numerical methods for solving nonlinear fractional Whitham–Broer–Kaup (WBK) equations are time-consuming and tedious. Therefore, it is a research hotspot to explore the numerical solution of fractional-order WBK equation. The main goal of this study is to provide an efficient method for the fractional-in-space coupled WBK equations on unbounded domain and discover some novel anomalous transmission behaviors. First, the numerical solution is compared with the exact solution to determine the validity of the proposed method on large time-spatial domain. Then, anomalous transmission of waves propagation of the fractional WBK equation is numerically simulated, and the influence of different fractional-order derivatives on wave propagation of the WBK equation is researched. Some novel anomalous transmission behaviors of wave propagation of the fractional WBK equation on unbounded domain are shown.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain ; volume:22 ; number:1 ; year:2024 ; extent:8
Open physics ; 22, Heft 1 (2024) (gesamt 8)
- Urheber
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Zhao, Li-Fang
Zhang, Wei
- DOI
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10.1515/phys-2024-0071
- URN
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urn:nbn:de:101:1-2408181603577.465489012285
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 14.08.2025, 10:52 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Zhao, Li-Fang
- Zhang, Wei
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