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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Determination of the unknown time dependent coefficient p(t) in the parabolic equation ut = Δu + p(t)u + φ(x, t)

1College of Science, Hunan University of Technology, Zhuzhou, Hunan 412007, P. R. China.

2School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, P. R. China.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 19, Issue 3, Pages 525–531, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.042, August 2011

Publication History

Received:
2010-06-24
Published Online:
2011-08-05

Abstract

This paper is devoted to a class of inverse coefficient problems for parabolic differential equations. These problems play a very important role in many branches of engineering and sciences. Based on a variational iteration technique, we show the rapid convergence of the approximated solution sequence constructed to the exact solution. To show the efficiency of the present method, one example is displayed.

Keywords.: Inverse coefficient problem; parabolic equation; the modified variational iteration method; Lagrange multipliers

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