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

Author(s):

H. Molhem , R. Pourgholi , M. Borghei

Message:
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.
Keywords:

Inverse nonlinear di usion problem , Laplace transform , Finite di erence method , Least , squares method , Regularization method , SVD Method

Language:
English
Published:
Theory of Approximation and Applications, Volume:7 Issue: 2, Summer and Autumn 2012
Pages:
39 to 54
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