Title :
A direct numerical method for an inverse problem for the heat equation via hyperbolic perturbation
Author :
Lin, Tao ; Ewing, Richard E.
Author_Institution :
Dept. of Math., Wyoming Univ., Laramie, WY, USA
Abstract :
A marching idea is used to develop a noniterative numerical method for the initial value identification problem of parabolic equations. A hyperbolic perturbation technique is used to achieve the stability of the numerical scheme. Several numerical experiments are carried out
Keywords :
heat transfer; initial value problems; numerical analysis; physics computing; direct numerical method; heat equation; heat transfer; hyperbolic perturbation; initial value problems; inverse problem; marching; numerical analysis; physics computing; Computational modeling; Computer simulation; Equations; Fluid flow measurement; Inverse problems; Least squares methods; Mathematics; Numerical stability; Perturbation methods; Physics computing;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194302
