Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary

Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary Full article

Journal

Journal of Physics: Conference Series
ISSN: 1742-6588 , E-ISSN: 1742-6596

Output data

Year: 2021, Volume: 2092, Number: 1, Article number : 012010, Pages count : DOI: 10.1088/1742-6596/2092/1/012010

Authors

Prikhodko A. ^1,2 , Shishlenin M. ^1,2,3

Affiliations

1	Institute of Computational Mathematics and Mathematical Geophysics, SB, RAS, Novosibirsk, Russian Federation
2	Novosibirsk State University, Novosibirsk, Russian Federation
3	Sobolev Institute of Mathematics, SB, RAS, Novosibirsk, Russian Federation

Funding (1)

Russian Foundation for Basic Research

19-01-00694

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. © 2021 Institute of Physics Publishing. All rights reserved.

Prikhodko A. , Shishlenin M.
Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary
Journal of Physics: Conference Series. 2021. V.2092. N1. 012010 . DOI: 10.1088/1742-6596/2092/1/012010 Scopus OpenAlex

Scopus:	2-s2.0-85124028141
OpenAlex:	W4200388834

DB	Citing
Scopus	1
OpenAlex	1