A TRUNCATION METHOD BASED ON HERMITE EXPANSION FOR UNKNOWN SOURCE IN SPACE FRACTIONAL DIFFUSION EQUATION-Reference-Cited by-同舟云学术

A TRUNCATION METHOD BASED ON HERMITE EXPANSION FOR UNKNOWN SOURCE IN SPACE FRACTIONAL DIFFUSION EQUATION

Published:2014-06-01 Issue:3 Volume:19 Page:430-442
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Zhao Zhenyu¹,Xiea Ou¹,You Lei¹,Meng Zehong²

Affiliation:

1. College of Science, Guangdong Ocean University 524088 Zhanjiang, China

2. School of Mathematics and Statistics, Zhejiang University of Finance and Economics 310018 Hangzhou, China

Abstract

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference23 articles.

1. A spectral method for solving the sideways heat equation

2. Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient

3. Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

4. Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation

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