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Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem
Journal article   Peer reviewed

Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem

Yiliang Liu, Salih Tatar and Suleyman Ulusoy
Applied mathematics and computation, Vol.219(23), pp.10956-10960
01/08/2013
DOI: https://doi.org/10.1016/j.amc.2013.05.013

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper is related to a class of inverse problems for identification of the coefficient in a square porous medium. The unknown coefficient depends on the solution and belongs the class of admissible coefficients. Using continuous dependence of solutions on the coefficient convergence in the corresponding direct problems, the existence of the quasi-solution of the inverse problem is obtained in the appropriate class of admissible coefficients. (C) 2013 Elsevier Inc. All rights reserved.

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