A numerical approach for solving a nonlinear inverse di usion problem by Tikhonov regularization
محورهای موضوعی : Applied Mathematics
H. Molhem
1
(
Department of Physics , Faculty of Science, Islamic Azad University, Karaj
Branch, Karaj, Iran
)
R. Pourgholi
2
(
School of Mathematics and Computer Sciences,
Damghan University, P.O.Box 36715-364, Damghan, Iran.
)
M. Borghei
3
(
Department of Physics , Faculty of Science, Islamic Azad University, Karaj
Branch, Karaj, Iran.
)
کلید واژه: Laplace transform, Inverse nonlinear di usion problem, Finite di erence method, Least-squares method, Regularization method, SVD Method,
چکیده مقاله :
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 ofequations, we apply the Tikhonov regularization method to obtain the stablenumerical approximation to the solution. Some numerical experiments con- rm the utility of this algorithm as the results are in good agreement with theexact data.
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 ofequations, we apply the Tikhonov regularization method to obtain the stablenumerical approximation to the solution. Some numerical experiments con- rm the utility of this algorithm as the results are in good agreement with theexact data.
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