Inverse Problem of Finding the Time-dependent Coefficient of Heat Equation from Integral Overdetermination Condition Data
Analysis of PDEs
2015-03-17 v1
Abstract
In this paper we consider the problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional heat equation in the case of nonlocal boundary and integral overdetermination conditions. We establish conditions for the existence and uniqueness of a classical solution of the problem under considerations. We present some results on the numerical solution with an example.
Keywords
Cite
@article{arxiv.1004.5505,
title = {Inverse Problem of Finding the Time-dependent Coefficient of Heat Equation from Integral Overdetermination Condition Data},
author = {Mansur I. Ismailov and Fatma Kanca},
journal= {arXiv preprint arXiv:1004.5505},
year = {2015}
}
Comments
14 pages