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

Yunhua Ou; Jing Zhao; Zhenhai Liu; Jiang Tang

doi:10.1515/jiip.2011.042

Published by De Gruyter August 5, 2011

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

Yunhua Ou , Jing Zhao , Zhenhai Liu and Jiang Tang

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https://doi.org/10.1515/jiip.2011.042

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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

Received: 2010-06-24

Published Online: 2011-08-05

Published in Print: 2011-August

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

Abstract

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