Abstract
Abstract This paper investigates an adaptive algorithm for identification of source terms w : = { F ( x , t ) ; p ( t ) } ${w:=\lbrace F(x,t);p(t)\rbrace }$ in the linear parabolic equation u t = u x x + F ( x , t ) $u_t= u_{xx} + F(x,t)$ and Robin boundary condition - u x ( l , t ) = ν [ u ( l , t ) - p ( t ) ] ${-u_x(l,t)= \nu [u(l,t) - p(t)]}$ from the measured final data and the measurement of the temperature in a subregion. This is based on the minimization of Tikhonov functional. We pursue the approach iteratively regularized gradient method. Results with the adaptive algorithm are presented.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.