Title of article
Fourier series analysis of a time-dependent perfusion coefficient determination in a 2D bioheat transfer process
Author/Authors
Ismailov, Mansur I. Gebze Technical University - Department of Mathematics, Gebze/Kocaeli, Turkey , Erkovan, Sait Gebze Technical University - Department of Mathematics, Gebze/Kocaeli, Turkey , Huseynova, Afaq A. Baku State University - Mechanics-Mathematics Faculty, Baku, Azerbaijan
Pages
9
From page
70
To page
78
Abstract
In this work, an inverse problem of determining the time-dependent perfusion coefficient of
two-dimensional (2D) heat equation with a classical and total energy integral overdetermination condition is considered. The existence and uniqueness of the problem is obtained by generalized Fourier
method combined with the unique solvability of the second kind Volterra integral equation. Moreover, the
proof of the continuous dependence upon the data of the inverse problem is given.
Keywords
2D bioheat equation , Volterra integral equation , Generalized Fourier method
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2018
Full Text URL
Record number
2611637
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