On Reducing an Inverse Boundary-Value Problem to the Synthesis of Two Ill-Posed Problems and Their Solution
Vitaly P. Tanana · Numerical Analysis and Applications · 2020
ABSTRACT An inverse boundary-value problem for the heat conduction equation is solved, and the error of the approximate solution is estimated. 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, the variable in the heat conduction equation is replaced, resulting in the synthesis of problems and obtaining the estimate.