Inverse Temperature-Dependent Perfusion Coefficient Reconstruction

TY - JOUR

T1 - Inverse Temperature-Dependent Perfusion Coefficient Reconstruction

AU - Trucu, Dumitru

AU - Ingham, Derek B.

AU - Lesnic, Daniel

PY - 2010/6

Y1 - 2010/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/77950851911

U2 - 10.1016/j.ijnonlinmec.2010.02.004

DO - 10.1016/j.ijnonlinmec.2010.02.004

M3 - Article

VL - 45

SP - 542

EP - 549

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 5

ER -