An inverse problem of finding the time-dependent diffusion coefficient from an integral condition (Q2800508)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An inverse problem of finding the time-dependent diffusion coefficient from an integral condition |
scientific article; zbMATH DE number 6569627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inverse problem of finding the time-dependent diffusion coefficient from an integral condition |
scientific article; zbMATH DE number 6569627 |
Statements
An inverse problem of finding the time-dependent diffusion coefficient from an integral condition (English)
0 references
15 April 2016
0 references
inverse problem
0 references
thermal diffusivity
0 references
integral condition
0 references
heat equation
0 references
well-posedness condition
0 references
numerical examples
0 references
nonlinear least squares optimization problem
0 references
0 references
0 references
A nonlinear inverse problem that requires identifying the time-dependent diffusivity with periodic boundary condition and nonlocal boundary measurement is investigated. The unique solvability and continuous dependence upon the input data are proved. Numerically, the resulting inverse problem is reformulated as a nonlinear least squares optimization problem, which is solved using the MATLAB toolbox routine lsqnonlin. Numerical results show that accurate, robust, and reasonably stable solutions are obtained. Results for a few test examples are presented and discussed.
0 references
