Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
type: Item
instance of: scholarly article
title: Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
zbMATH Open document ID: 0966.65067
DOI: 10.1016/S0010-4655(99)00416-6
author: V. T. Borukhov
author: P. N. Vabishchevich
published in: Computer Physics Communications
publication date: 2001-08-02T00:00:00Z
review text: The authors consider the inverse problem of determining the right-hand side of a parabolic equation using measurements of its solution at internal points. To solve the problem numerically they rewrite it in a form of a loaded parabolic equation and then suggest a finite difference scheme for the last. Neither convergence results nor numerical experiments are presented.
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 1437171
zbMATH Keywords: parabolic equation
zbMATH Keywords: inverse problem
zbMATH Keywords: finite difference scheme
reviewed by: Dinh Nho Hào
MaRDI profile type: Publication
Wikidata QID: Q57694673
full work available at URL: s0010-4655(99)00416-6
OpenAlex ID: W1966516546
description: scientific article; zbMATH DE number 1437171