无界域上分数空间耦合惠瑟姆-布罗尔-考普方程的傅立叶谱法

IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Li-Fang Zhao, Wei Zhang
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引用次数: 0

摘要

由于分数导数的非局部性,求解非线性分数 Whitham-Broer-Kaup (WBK)方程的数值方法耗时且繁琐。因此,探索分数阶 WBK 方程的数值解法是一个研究热点。本研究的主要目标是为无界域上的分数空间耦合 WBK 方程提供一种高效方法,并发现一些新的异常传输行为。首先,将数值解与精确解进行比较,以确定所提方法在大时空域上的有效性。然后,数值模拟了分数 WBK 方程波传播的反常传输,并研究了不同分数阶导数对 WBK 方程波传播的影响。结果表明,分式 WBK 方程在无界域上的波传播具有一些新颖的反常传输行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain
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.
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来源期刊
Open Physics
Open Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
3.20
自引率
5.30%
发文量
82
审稿时长
18 weeks
期刊介绍: Open Physics is a peer-reviewed, open access, electronic journal devoted to the publication of fundamental research results in all fields of physics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind.
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