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

Document Type: Research Articles

Authors

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

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

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

Abstract

In this paper, we propose an algorithm for numerical solving an inverse non-
linear di usion 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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