A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization

Theory of Approximation and Applications

مقاله 4، دوره 7، شماره 2، اسفند 2013، صفحه 39-54   

نوع مقاله: Research Articles

نویسندگان

H. Molhem^{* 1}؛ R. Pourgholi²؛ M. Borghei³

¹Department of Physics , Faculty of Science, Islamic Azad University, Karaj Branch, Karaj, Iran

²School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran.

³Department of Physics , Faculty of Science, Islamic Azad University, Karaj Branch, Karaj, Iran.

چکیده

In this paper, we propose an algorithm for numerical solving an inverse non-
linear diusion problem. In additional, the least-squares method is adopted to
nd the solution. To regularize the resultant ill-conditioned linear system of
equations, we apply the Tikhonov regularization method to obtain the stable
numerical approximation to the solution. Some numerical experiments con-
rm the utility of this algorithm as the results are in good agreement with the
exact data.

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