近似贝塞尔分数阶导数的一种有效的运算搭配方法

Q1 Mathematics

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-25 DOI:10.1016/j.padiff.2025.101180

Hadiseh Jafari Arimi, Mostafa Eslami

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引用次数: 0

摘要

本文利用移位的勒让德多项式建立了贝塞尔分数阶导数（FDe）和Riesz分数阶导数（FDe）的运算矩阵。将该方法应用于涉及分布阶贝塞尔FDe和空间Riesz FDe的欧拉-泊松-达布方程的数值研究。此外，通过三个数值实例证明了所提出技术的有效性和可信度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An effective operational-collocation method for approximating Bessel fractional derivative

In this work, we establish the operational matrices for the Bessel fractional derivative (FDe) and the Riesz FDe applying the shifted Legendre polynomials. This technique is applied for the numerical study Euler–Poisson–Darboux equation involving distributed-order Bessel FDe and the spatial Riesz FDe. Additionally, three numerical illustrations are conducted to demonstrate the effectiveness and trustworthiness of the proposed techniques.

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