Browsing by Subject "Periodic boundary conditions"
Now showing items 1-2 of 2
An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition Authors:
Publisher and Date:(Wiley-Blackwell, 2015)In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity and consistency conditions on the input data the existence uniqueness and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example. Copyright (c) 2014 John Wiley & Sons Ltd.
Publisher and Date:(Taylor & Francis Ltd, 2019)In this study we consider a coefficient problem of a quasi-linear two-dimensional parabolic inverse problem with periodic boundary and integral over determination conditions. We prove the existence uniqueness and continuously dependence upon the data of the solution by iteration method. Also we consider numerical solution for this inverse problem by using linearization and the implicit finite-difference scheme.