Numerical differentiation of fractional order derivatives based on inverse source problems of hyperbolic equations

Numerical differentiation of fractional order derivatives based on inverse source problems of hyperbolic equations

In this paper, we mainly study the numerical differentiation problem of computing the fractional order derivatives from noise data of a single variable function. Firstly, the numerical differentiation problem is reformulated into an inverse source problem of first order hyperbolic equation, and the...

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Bibliographic Details
Main Authors: Zewen Wang, Shufang Qiu, Xiuxing Rui, Wen Zhang
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2025-01-01
Series:Mathematical Modelling and Analysis
Subjects:
numerical differentiation
fractional derivative
source inversion
hyperbolic equation
ill-posed problem
Online Access:https://gc.vgtu.lt/index.php/MMA/article/view/19339
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