Copy For Citation
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, vol.23, no.5, pp.884-900, 2015 (SCI-Expanded)
Article / Article
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
Science Citation Index Expanded (SCI-EXPANDED), Scopus
integral overdetermination condition, periodic boundary conditions, inverse problem, quasilinear parabolic equation, time-dependent coefficient, TIME-DEPENDENT COEFFICIENT, PARTIAL-DIFFERENTIAL-EQUATION, INVERSE PROBLEM, PARAMETER, SUBJECT
Kocaeli University Affiliated:
In this paper, we consider the problem of determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional quasilinear heat equation with periodic boundary and integral overdetermination conditions. We establish conditions for the existence, uniqueness and continuous dependent of a classical solution of the problem under considerations. We present some results on the numerical solution with two examples.