An inverse Stefan problem: Identification of boundary value

DOI10.1016/0377-0427(95)00159-XzbMath0859.65127MaRDI QIDQ1919058

Dinh Ngoc Thanh, Dang Dinh Ang, Pham Ngoc Dinh, Alain

Publication date: 25 March 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformnumerical exampleerror boundmoving boundaryconvolution equationinverse Stefan problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05) Initial value problems for second-order parabolic equations (35K15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (10)

A mollified marching solution of an inverse ablation-type moving boundary problem ⋮ A meshless method for an inverse two-phase one-dimensional linear Stefan problem ⋮ A bidimensional inverse Stefan problem: Identification of boundary value ⋮ An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem ⋮ A method of fundamental solutions for the one-dimensional inverse Stefan problem ⋮ An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem ⋮ Determination of a two-dimensional heat source: uniqueness, regularization and error estimate ⋮ On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems ⋮ Numerical solution of inverse heat conduction problem with nonstationary measurements ⋮ A heat polynomial method for inverse cylindrical one-phase Stefan problems

Cites Work

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• The numerical solution of the inverse Stefan problem
• The inverse one phase Stefan problem
• Control of a Distributed Parameter System with a Free Boundary†

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