Rahimov A.B.
Numerical solution to a class of inverse problems for parabolic equation

A class of inverse problems for parabolic equation is considered. In particular, boundary value problems with nonlocal conditions are reduced to such class of problems. The proposed numerical approach is based on the method of lines to reduce the problem to a system of ordinary differential equations. To solve this system, an analog of the transfer method for boundary conditions is applied. The results of numerical experiments are given. © 2017, Springer Science+Business Media New York.

Keywords: inverse problem, method of lines, nonlocal conditions, parabolic equation, parametric identification, Boundary conditions, Boundary value problems, Differential equations, Numerical methods, Ordinary differential equations, Partial differential equations, Method of lines, Non-local conditions, Numerical approaches, Numerical experiments, Numerical solution, Parabolic Equations, Parametric identification, System of ordinary differential equations, Inverse problems

Cite:
Rahimov A.B. (2017). Numerical solution to a class of inverse problems for parabolic equation. Cybernetics and Systems Analysis, 53 (3), 73-84. doi: https://doi.org/10.1007/s10559-017-9939-1 http://jnas.nbuv.gov.ua/article/UJRN-0000700160 [In Russian].