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Title

ESTIMATION OF TIME-DEPENDENT SOURCE FUNCTION USING THE LEVENBERG-MARQUARDT METHOD

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Abstract

 IN THIS PAPER, THE LEVEN BERG-MARQUARDT METHOD IS USED IN ORDER TO SOLVE THE INVERSE HEAT CONDUCTION PROBLEM IN A SLAB AND ESTIMATION OF THE SOURCE FUNCTION OF THE TIME-DEPENDENT, ALSO. THE DIRECT PROBLEM WAS SOLVED BY USING FINITE DIFFERENCES METHOD. SIMULATED MEASURED TEMPERATURES ARE THE INPUT TO THE INVERSE PROCEDURE. A NUMERICAL EXAMPLES ARE INTRODUCED TO SHOW THE PERFORMANCE OF THE PROPOSED APPROACH. FINALLY, THE RESULTS OBTAINED FROM INVERSE METHOD COVER THE EXACT VALUES PROPERLY.

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