Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900413 | Transactions of A. Razmadze Mathematical Institute | 2017 | 13 Pages |
Abstract
In this paper, using Sinc-Galerkin and Levenberg-Marquardt methods a stable numerical solution is obtained to a nonlinear inverse parabolic problem. Due to this, this problem is reduced to a parameter approximation problem. To approximate unknown parameters, we consider an optimization problem where objective function is minimized by Levenberg-Marquardt method. This objective function is obtained by using Sinc-Galerkin method and the overposed measured data. Finally, some numerical examples are given to demonstrate the accuracy and reliability of the proposed method.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Zakeri, A.H. Salehi Shayegan, S. Sakaki,