Title of article :
ON IMPROVING AN ERROR ESTIMATE FOR A NONLINEAR PROJECTIVE REGULARIZATION METHOD WHEN SOLVING AN INVERSE BOUNDARY VALUE PROBLEM
Author/Authors :
Tanana, V.P. South Ural State University (national research university) - Chelyabinsk State University, Chelyabinsk , Sidikova, A.I. South Ural State University (national research university), Chelyabinsk
Abstract :
The paper suggests a solution to a combined initial boundary value problem for the
heat equation, in which, the heating takes place in the interval from 0 to T, and then, starting
with T, the free heat exchange with the surrounding medium occurs. Such a statement is an
adequate mathematical model describing the temperature field of a heated object. The error
estimation of the approximate solution to the problem is obtained in terms of the modulus of
continuity of the inverse operator.
Keywords :
error estimation , modulus of continuity , Fourier transform , ill-posed problem
Journal title :
Eurasian Journal of Mathematical and Computer Applications
