Inverse Temperature-Dependent Perfusion Coefficient Reconstruction

Dumitru Trucu, Derek B. Ingham, Daniel Lesnic

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The identification of the temperature-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. If Neumann boundary conditions are prescribed, then the additional measurement sufficient to render a unique solution is a temperature measurement on a part of the boundary. A numerical approach based on a Crank-Nicolson-type finite-difference scheme combined with the first-order Tikhonov regularization method is developed. Numerical results are presented and discussed.
Original languageEnglish
Pages (from-to)542-549
Number of pages8
JournalInternational Journal of Non-Linear Mechanics
Volume45
Issue number5
Early online date4 Mar 2010
DOIs
Publication statusPublished - Jun 2010

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