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2014 Inverse Estimates for Nonhomogeneous Backward Heat Problems
Tao Min, Weimin Fu, Qiang Huang
J. Appl. Math. 2014(SI20): 1-7 (2014). DOI: 10.1155/2014/529618


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.


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Tao Min. Weimin Fu. Qiang Huang. "Inverse Estimates for Nonhomogeneous Backward Heat Problems." J. Appl. Math. 2014 (SI20) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 07010669
MathSciNet: MR3178961
Digital Object Identifier: 10.1155/2014/529618

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI20 • 2014
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