Determination of an unknown parameter in a semi-linear parabolic equation

Mathematical Problems in Engineering, Jul 2018

Some finite difference approximations are developed for an inverse problem of determining an unknown parameter p(t) which is a coefficient of the solution u in a semi-linear parabolic partial differential equation subject to a boundary integral overspecification. The accuracy and efficiency of the procedures are discussed. Some computational results using the newly proposed numerical techniques are presented. CPU times needed for this problem are reported.

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Determination of an unknown parameter in a semi-linear parabolic equation

Determination of an unknown parameter in a semi-linear parabolic equation Mehdi Dehghan Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran, Iran Received 1 December 2001 Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Some finite difference approximations are developed for an inverse problem of determining an unknown parameter p(t) which is a coefficient of the solution u in a semi-linear parabolic partial differential equation subject to a boundary integral overspecification. The accuracy and efficiency of the procedures are discussed. Some computational results using the newly proposed numerical techniques are presented. CPU times needed for this problem are reported.


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Mehdi Dehghan. Determination of an unknown parameter in a semi-linear parabolic equation, Mathematical Problems in Engineering, DOI: 10.1080/10241230212906