卡普托分数导数的提霍诺夫式正则化方法

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Numerical Algorithms Pub Date : 2024-07-30 DOI:10.1007/s11075-024-01883-z

Nguyen Van Duc, Thi-Phong Nguyen, Nguyen Phuong Ha, Nguyen The Anh, Luu Duc Manh, Hoang Cong Gia Bao

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引用次数: 0

摘要

针对卡普托分数导数的求值问题，获得了霍尔德类型的稳定性估计。这个问题是由一种 Tikhonov 型方法正则化的，它保证了霍尔德类型的误差估计。数值结果证实了这一理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$A Tikhonov-type regularization method for Caputo fractional derivative$

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A Tikhonov-type regularization method for Caputo fractional derivative

Stability estimates of Hölder type for the problem of evaluating the Caputo fractional derivative are obtained. This ill-posed problem is regularized by a Tikhonov-type method, which guarantees error estimates of Hölder type. Numerical results are presented to confirm the theory.

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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.