TY - JOUR
T1 - Reconstruction of the space- and time-dependent blood perfusion coefficient in bio-heat transfer
AU - Trucu, Dumitru
AU - Ingham, Derek B.
AU - Lesnic, Daniel
PY - 2011/4/13
Y1 - 2011/4/13
N2 - The identification of the space- and time-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. While boundary and initial conditions are prescribed, additional temperature measurements are considered inside the solution domain. The problem is approached both from a global and a local perspective. In the global approach a Crank-Nicolson-type scheme is combined with the Tikhonov regularization method. In the local approach, we compute both the time first-order and space second-order derivatives by means of first kind integral equations. A comparison between the numerical results obtained using the two methods shows that the local approach is more accurate and stable than the global one. Copyright © Taylor and Francis Group, LLC.
AB - The identification of the space- and time-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. While boundary and initial conditions are prescribed, additional temperature measurements are considered inside the solution domain. The problem is approached both from a global and a local perspective. In the global approach a Crank-Nicolson-type scheme is combined with the Tikhonov regularization method. In the local approach, we compute both the time first-order and space second-order derivatives by means of first kind integral equations. A comparison between the numerical results obtained using the two methods shows that the local approach is more accurate and stable than the global one. Copyright © Taylor and Francis Group, LLC.
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-79953717751&origin=resultslist&sort=plf-f&src=s&st1=Reconstruction+of+the+space-+and+time-dependent+blood+perfusion+coefficient+in+bio-heat+transfer&st2=&sid=f0197a7cfd41bd4680c0e76edddc1fdc&sot=b&sdt=b&sl=111&s=TITLE-ABS-KEY%28Reconstruction+of+the+space-+and+time-dependent+blood+perfusion+coefficient+in+bio-heat+transfer%29&relpos=0&citeCnt=18&searchTerm=
U2 - 10.1080/01457632.2011.525430
DO - 10.1080/01457632.2011.525430
M3 - Article
SN - 1521-0537
VL - 32
SP - 800
EP - 810
JO - Heat Transfer Engineering
JF - Heat Transfer Engineering
IS - 9
ER -