A bidimensional inverse Stefan problem: Identification of boundary value

DOI10.1016/S0377-0427(97)00021-6zbMath0882.65117MaRDI QIDQ1360169

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

Publication date: 15 July 1997

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

zbMATH Keywords

numerical exampleregularizationill-posed problemsystem of integral equationsinverse Stefan problemsystem of convolution equationsidentification of boundary value

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Inverse problems in thermodynamics and heat transfer (80A23) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (8)

Deconvolution and regularization for numerical solutions of incorrectly posed problems ⋮ Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control ⋮ Direct and inverse one-phase Stefan problem solved by the variational iteration method ⋮ Using the swarm intelligence algorithms in solution of the two-dimensional inverse Stefan problem ⋮ On photon correlation measurements of colloidal size distributions using Bayesian strategies. ⋮ One-phase inverse Stefan problem solved by Adomian decomposition method ⋮ Solving the inverse Stefan design problem using genetic algorithms ⋮ The method of fundamental solutions for the two-dimensional inverse Stefan problem

Cites Work

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• An inverse Stefan problem: Identification of boundary value
• The inverse Stefan problem for the heat equation in two space variables

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