Molhem, H., Pourgholi, R., Borghei, M. (2011). A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization. Theory of Approximation and Applications, 7(2), 39-54.

H. Molhem; R. Pourgholi; M. Borghei. "A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization". Theory of Approximation and Applications, 7, 2, 2011, 39-54.

Molhem, H., Pourgholi, R., Borghei, M. (2011). 'A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization', Theory of Approximation and Applications, 7(2), pp. 39-54.

Molhem, H., Pourgholi, R., Borghei, M. A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization. Theory of Approximation and Applications, 2011; 7(2): 39-54.

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

^{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 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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