A Truncation Method Based on Hermite Expansion for Unknown Source in Space Fractional Diffusion Equation

A Truncation Method Based on Hermite Expansion for Unknown Source in Space Fractional Diffusion Equation

In this paper we consider the problem for identifying an unknown steady source in a space fractional diffusion equation. A truncation method based on a Hermite function expansion is proposed, and the regularization parameter is chosen by a discrepancy principle. An error estimate between the exact...

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Bibliographic Details
Main Authors: Zhenyu Zhao, Ou Xiea, Lei You, Zehong Meng
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2014-06-01
Series:Mathematical Modelling and Analysis
Subjects:
ill-posed problem
unknown source
truncation method
Hermite functions expansion
discrepancy principle
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/3303
Description
Summary:In this paper we consider the problem for identifying an unknown steady source in a space fractional diffusion equation. A truncation method based on a Hermite function expansion is proposed, and the regularization parameter is chosen by a discrepancy principle. An error estimate between the exact solution and its approximation is given. A numerical implementation is discussed and corresponding results are presented to verify the effectiveness of the method.
ISSN:1392-6292
1648-3510

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