Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Numerical Algorithms Pub Date : 2024-07-16 DOI:10.1007/s11075-024-01884-y

Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro

引用次数: 0

Abstract

In this paper we describe the efficient numerical implementation of Fractional HBVMs, a class of methods recently introduced for solving systems of fractional differential equations. The reported arguments are implemented in the Matlab\(^{\copyright } \) code fhbvm, which is made available on the web. An extensive experimentation of the code is reported, to give evidence of its effectiveness.

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使用分数 HBVM 对 FDE-IVPs 进行数值求解：fhbvm 代码

本文描述了分数 HBVMs 的高效数值实现，这是最近引入的一类用于求解分数微分方程系统的方法。所报告的参数在 Matlab（^{/copyright } \）代码 fhbvm 中实现，该代码可在网上获取。报告对代码进行了广泛的实验，以证明其有效性。

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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来源期刊

Numerical Algorithms 数学-应用数学

CiteScore

4.00

自引率

9.50%

发文量

201

审稿时长

9 months

期刊介绍： The journal Numerical Algorithms is devoted to numerical algorithms. It publishes original and review papers on all the aspects of numerical algorithms: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines, and applications. Papers on computer algebra related to obtaining numerical results will also be considered. It is intended to publish only high quality papers containing material not published elsewhere.