多维分数阶电报方程的Sawi变换迭代求解方法

IF 2.4 Q2 ENGINEERING, MECHANICAL

Nonlinear Engineering - Modeling and Application Pub Date : 2023-01-01 DOI:10.1515/nleng-2022-0285

Mamta Kapoor, Samanyu Khosla

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引用次数: 0

摘要

摘要本文利用Sawi变换的迭代方法求解了Caputo意义下的一维、二维和三维分数双曲型电报方程。这些方程可作为电脉冲传输和传播的信号分析模型。并给出了一些常用函数的Sawi变换表，给出了一些关于Sawi变换的有用结果。为了验证该方法的有效性，使用该方案求解了5个一维算例、1个二维算例和1个三维算例。给出了用图形和表格比较近似解和精确解的误差分析。该方法鲁棒、有效、易于实现，可对多种分数阶偏微分方程实现精确的级数逼近。

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An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions

Abstract In the present study, 1D, 2D, and 3D fractional hyperbolic telegraph equations in Caputo sense have been solved using an iterative method using Sawi transform. These equations serve as a model for signal analysis of electrical impulse transmission and propagation. Along with a table of Sawi transform of some popular functions, some helpful results on Sawi transform are provided. To demonstrate the effectiveness of the suggested method, five examples in 1D, one example in 2D, and one example in 3D are solved using the proposed scheme. Error analysis comparing approximate and exact solutions using graphs and tables has been provided. The proposed scheme is robust, effective, and easy to implement and can be implemented on variety of fractional partial differential equations to obtain precise series approximations.

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来源期刊

Nonlinear Engineering - Modeling and Application Multiple-

CiteScore

6.20

自引率

3.60%

发文量

审稿时长

44 weeks

期刊介绍： The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.