In this paper, a numerical method is proposed to solve an Inverse Heat Conduction Problem IHCP using noisy data based on SincGalerkin method. A stable numerical solution is determined for the problem. To do this, we use a sensor located at a point inside the body and measure u x, t at a point x = a, where 0 < a < 1. We also show that the rate of convergence of the method is as exponential. The numerical results show the efficiency of our approach to estimate the unknown functions of the inverse problem. The function can be computed within a couple of minutes CPU time at pentium IV2.7 GHz PC.
Primary Language  English 

Journal Section  Research Article 
Authors 

Publication Date  December 1, 2013 
Published in Issue  Year 2013, Volume 3, Issue 2 
Bibtex  @ { twmsjaem761407, journal = {TWMS Journal of Applied and Engineering Mathematics}, issn = {21461147}, eissn = {25871013}, address = {Işık University ŞİLE KAMPÜSÜ Meşrutiyet Mahallesi, Üniversite Sokak No:2 Şile / İstanbul}, publisher = {Turkic World Mathematical Society}, year = {2013}, volume = {3}, number = {2}, pages = {160  181}, title = {RESOLUTION OF AN INVERSE PARABOLIC PROBLEM USING SINCGALERKIN METHOD}, key = {cite}, author = {Pourgholi, Reza and Molai, Ali Abbasi and Houlari, Tahereh} } 