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Iterative methods for solving inverse problems for nonlinear partial differential equations
Authors:V A Leshchenko  S R Tuikina
Abstract:Inverse coefficient problems are considered for the mathematical models of sorption dynamics and heat conduction. Iterative methods proposed for solving these inverse problems transform a supplementary condition into an integral relationship containing the unknown coefficient. Combined with the original boundary-value problem, this integral relationship makes it possible to construct an iterative process. A priori representation of the unknown nonlinear coefficients in parametric form is not required. Results of computational experiments are reported.Translated from Matematicheskie Modeli Estestvoznaniya, Published by Moscow University, Moscow, 1995, pp. 142–149.
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