Open AccessComparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary
Author(s) -
Aleksei Prikhodko,
Maxim Shishlenin
Publication year - 2021
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 - 10.1088/1742-6596/2092/1/012010
Subject(s) - continuation , mathematics , inverse problem , mathematical analysis , inversion (geology) , boundary value problem , parabolic partial differential equation , numerical analysis , finite difference method , boundary (topology) , partial differential equation , computer science , biology , programming language , paleontology , structural basin
The problem of continuation of the solution of a three-dimensional parabolic equation with data given on a time-like surface is investigated. Two numerical methods for solving the continuation problem are compared: the finite-difference scheme inversion and the solution of inverse problem by gradient method. The functional gradient formula is obtained. The results of numerical calculations are presented.