On reducing the inverse boundary value problem to the synthesis of two ill-posed problems and their solution
V.P. Tanana1,2
1South Ural State University, Chelyabinsk, Russia
2Chelyabinsk State University, Chelyabinsk, Russia
Keywords: оценка погрешности, модуль непрерывности, преобразование Фурье, некорректная задача, error estimation, modulus of continuity, Fourier transform, ill-posed problem
Abstract
This paper concerns the solution of the inverse boundary value problem for the equation of thermal conductivity and the estimation of the approximate solution error. The Fourier transform with respect to time, which allows one to obtain an error estimate, is not applicable to the problem to be solved. Therefore, in the equation of thermal conductivity, the variable was replaced, which led to the synthesis of problems and allowed obtaining an estimate.
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