An inverse Stefan problem: Identification of boundary value
type: Item
instance of: scholarly article
title: An inverse Stefan problem: Identification of boundary value
zbMATH Open document ID: 0859.65127
DOI: 10.1016/0377-0427(95)00159-X
author: Dinh Ngoc Thanh
author: Dang Dinh Ang
author: Alain Pham Ngoc Dinh
published in: Journal of Computational and Applied Mathematics
publication date: 1997-03-25T00:00:00Z
review text: A spatially one-dimensional inverse Stefan problem is considered: the moving boundary (its evolution in time) is given, the temporal evolution of the temperature at the non-moving boundary is to be determined. The standard integral equation of first kind for this problem is transformed into an equivalent convolution equation. Under the assumption that the data function is perturbed by (small) errors a regularized solution is constructed via Fourier transform and an \(L^2\) error bound is found. Then a numerical case study is documented.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65M30
zbMATH DE Number: 908311
zbMATH Keywords: numerical example
zbMATH Keywords: inverse Stefan problem
zbMATH Keywords: moving boundary
zbMATH Keywords: convolution equation
zbMATH Keywords: Fourier transform
zbMATH Keywords: error bound
reviewed by: Rudolf Gorenflo
MaRDI profile type: Publication
cites work: The inverse one phase Stefan problem
cites work: Q5827353
cites work: Q5520962
cites work: The numerical solution of the inverse Stefan problem
cites work: Control of a Distributed Parameter System with a Free Boundary†
description: scientific article; zbMATH DE number 908311