Inverse Estimates for Nonhomogeneous Backward Heat Problems
Joint Authors
Fu, Weimin
Huang, Qiang
Min, Tao
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We investigate the inverse problem in the nonhomogeneous heat equation involving the recovery of the initial temperature from measurements of the final temperature.
This problem is known as the backward heat problem and is severely ill-posed.
We show that this problem can be converted into the first Fredholm integral equation, and an algorithm of inversion is given using Tikhonov's regularization method.
The genetic algorithm for obtaining the regularization parameter is presented.
We also present numerical computations that verify the accuracy of our approximation.
American Psychological Association (APA)
Min, Tao& Fu, Weimin& Huang, Qiang. 2014. Inverse Estimates for Nonhomogeneous Backward Heat Problems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-479015
Modern Language Association (MLA)
Min, Tao…[et al.]. Inverse Estimates for Nonhomogeneous Backward Heat Problems. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-479015
American Medical Association (AMA)
Min, Tao& Fu, Weimin& Huang, Qiang. Inverse Estimates for Nonhomogeneous Backward Heat Problems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-479015
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479015