Levenberg-marquardt Method for Solving the Inverse Heat Transfer Problems


Authors

Nasibeh Asa Golsorkhi - Department of mathematics , Shahrood University , Shahrood , Iran. Hojat Ahsani Tehrani - Department of mathematics , Shahrood University , Shahrood , Iran.


Abstract

In this paper, The Levenberg-Marquardt method is used in order to solve the inverse heat conduction problem. One-dimensional formulation of heat conduction problem was used. The direct problem was solved with finite-volumes by using an implicit discretization in time. Simulated measurements are obtained from the solution of the direct Problem at the sensor location. Results obtained in this inverse problem will be justified based on the numerical experiments. The results show that the speed of convergence is considerably fast and The Levenberg-Marquardt method is an accurate and stable method to determine the strength of the heat source in the inverse heat conduction problems.


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