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Original Articles

Local spline-approximation method of solving some coefficient inverse problems for differential equation of the parabolic type

Pages 455-469 | Received 16 May 2000, Published online: 24 Oct 2007
 

Abstract

Applications of the Spline-Approximation Method for solving the coefficient inverse problems for differential equations of the parabolic type are represented. The considered inverse problems consist in a restoration of the coefficients of an equation, using as input data the measurements of the solution of the equation. This model corresponds to the applied inverse problems of heat-conduction and identification of characteristics of the porous media of confined aquifers. The stable and fast algorithms for the numerical solution of formulated mathematical problems are constructed. The results of calculations for model examples are presented.

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Notes

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