Determination of the source function in a parabolic equation
type: Item
instance of: scholarly article
title: Determination of the source function in a parabolic equation
zbMATH Open document ID: 0858.93026
author: V. L. Rozenberg
published in: Journal of Computer and Systems Sciences International
publication date: 1997-02-17T00:00:00Z
review text: The author considers the problem of determination of the unknown time component of the source term in a parabolic partial differential equation. With certian restrictions, an approximation of the problem, based on the finite-element method, is constructed. Using a combination of Krasovskij's principle of extremal aiming and Tikhonov's regularization method, a finite-step algorithm for determining the unknown function is presented. The algorithm is stable to information noise and computation errors, and it operates in real time by a feedback scheme. The algorithm uses information at finite time nodes. The question of convergence is also discussed.
reviewed by: Yu Wenhuan
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65Z05
zbMATH DE Number: 920998
zbMATH Keywords: source function
zbMATH Keywords: identification
zbMATH Keywords: inverse problem
zbMATH Keywords: finite-element method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 920998