# Regularization algorithm within two parameters for the identification of the heat conduction coefficient in the parabolic equation

- Authors
- Journal
- Mathematical and Computer Modelling 0895-7177
- Publisher
- Elsevier
- Volume
- 57
- Identifiers
- DOI: 10.1016/j.mcm.2012.02.002
- Keywords
- Disciplines

## Abstract

Abstract Our approach is based in a new and promising regularization algorithm with an approximation process by a minimization of especial functional that depends on two regularization parameters for the identification of the nonlinear heat conduction coefficient in the parabolic equation. This algorithm uses the adjoint and sensibility equations. One of the regularization parameters is associated with the heat-coefficient as in conventional Tikhonov algorithms but the other is associated with the calculated solution. Numerical examples are presented to show how the method works.

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