A.B. Rahimov, A.H. Bagirov
Solution of the reconstruction problem in the parabolic equation of sources - functions of time

The paper studies the inverse problem of identifying coefficients that depend only on time with the source of a special form in linear parabolic equations with point redefinition conditions. A method is proposed for numerically solving the problem using the straight line method based on the use of a special type of representation for solving the resulting system of ordinary differential equations, without the use of any iterative procedures. The results of numerical experiments are given.

Keywords: Inverse problem, Nonlocal conditions, Method of lines, Parabolic equation, Parametric identification