A new regularization method for solving a time-fractional inverse diffusion problem

In this paper, we consider an inverse problem for a time-fractional diffusion equation in a one-dimensional semi-infinite domain. The temperature and heat flux are sought from a measured temperature history at a fixed location inside the body. We show that such problem is severely ill-posed and furt...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 378; no. 2; pp. 418 - 431
Main Authors:	Zheng, G.H., Wei, T.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.06.2011 Elsevier
Subjects:	Caputo's fractional derivatives Exact sciences and technology Fourier transform Heat flux Laplace transform Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical linear algebra Numerical methods in probability and statistics Real functions Regularization method Sciences and techniques of general use Temperature Regularization method Fourier transform Temperature Laplace transform Caputo's fractional derivatives Heat flux Fourier transformation Fourier analysis Numerical method Bounded solution Convergence Inverse problem Exact solution One-dimensional calculations Mathematical analysis Diffusion equation Ill posed problem Laplace transformation
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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