Title of article :
A numerical approach for solving a nonlinear inverse diffusion problem by Tikhonov regularization
Author/Authors :
Molhem, H. Department of Physics - Faculty of Science - Karaj Branch, Islamic Azad University , Pourgholi, R. School of Mathematics and Computer Sciences - Damghan University , Borghei, M. Department of Physics - Faculty of Science - Karaj Branch, Islamic Azad University
Abstract :
In this paper, we propose an algorithm for numerical solving an inverse nonlinear diffusion problem. In additional, the least-squares method is adopted to find 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 confirm the utility of this algorithm as the results are in good agreement with the exact data.
Keywords :
Inverse nonlinear diffusion problem , Laplace transform , Finite difference method , Least-squares method , Regularization method , SVD Method
Journal title :
نظريه تقريب و كاربردهاي آن
