三种不同线性化格式下广义时间分数型Burgers方程的数值模拟

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-02-08 DOI:10.1115/1.4056857

Reetika Chawla, Komal Deswal, Devendra Kumar, D. Baleanu

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引用次数: 2

摘要

在本研究中，我们通过采用Atangana-Baleanu Caputo导数，检验了三种线性化方法求解时间分数阶广义Burgers方程的有效性。给出了线性化时间分数型Burgers差分方程的稳定性分析。所有用于解决非线性问题的线性化策略都是无条件稳定的。为了支持这一理论，考虑了两个数值算例。此外，数值结果显示了线性化策略的比较，并在三个不同的方面表明了所提出的数值格式的有效性。

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Numerical Simulation for Generalized Time-Fractional Burgers' Equation with Three Distinct Linearization Schemes

In the present study, we examined the effectiveness of three linearization approaches for solving the time-fractional generalized Burgers' equation using a modified version of the fractional derivative by adopting the Atangana-Baleanu Caputo derivative. A stability analysis of the linearized time-fractional Burgers' difference equation was also presented. All linearization strategies used to solve the proposed non-linear problem are unconditionally stable. To support the theory, two numerical examples are considered. Furthermore, numerical results demonstrate the comparison of linearization strategies and manifest the effectiveness of the proposed numerical scheme in three distinct ways.

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来源期刊

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.