Open AccessIdentification of the spacewise dependent right-hand side in one-dimensional parabolic equation
Author(s) -
Ling De Su,
В. И. Васильев
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1392/1/012087
Subject(s) - inverse problem , mathematics , inverse , iterative method , derivative (finance) , function (biology) , parabolic partial differential equation , mathematical analysis , moment (physics) , algorithm , partial differential equation , physics , geometry , classical mechanics , evolutionary biology , financial economics , economics , biology
In this paper we consider numerical solution of the inverse problem of determining a spacewise dependent right-hand side function, which is also called source function, in parabolic equation from measured data of the solution at the final time point. Such inverse problem occurs in mathematical modeling of various physics or engineering areas. Special iterative method is constructed for the approximate solution of the inverse problem, based on the source function at the new iterative step can be identified by the time derivative and space derivative at final time moment. The capabilities of the proposed computational algorithm is confirmed by the results of several numerical experiments.