Determination of a time-dependent free boundary in a two-dimensional parabolic problem

DOI10.1007/S40819-019-0700-5zbMath1427.35357OpenAlexW2961606437WikidataQ127471195 ScholiaQ127471195MaRDI QIDQ2334683

M. J. Huntul, Daniel Lesnic

Publication date: 7 November 2019

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

Full work available at URL: http://eprints.whiterose.ac.uk/148573/1/kaya.pdf

zbMATH Keywords

inverse problemfree boundarytwo-dimensional parabolic equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Volterra integral equations (45D05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (3)

An inverse boundary value problem for a two-dimensional pseudo-parabolic equation of third order ⋮ INverse problem of identifying a time-dependent coefficient and free boundary in heat conduction equation by using the meshless local Petrov-Galerkin (MLPG) method via moving least squares approximation ⋮ Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem

Uses Software

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• Optimization Toolbox
• lsqnonlin

Cites Work

• A method of fundamental solutions for the one-dimensional inverse Stefan problem
• Multiple time-dependent coefficient identification thermal problems with a free boundary
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• Free boundary problems with nonlinear diffusion
• Inverse coefficient problem for a two-dimensional parabolic equation in a domain with free boundary
• On the phase Stefan problem subject to the specification of energy
• Some free boundary problems involving non-local diffusion and aggregation
• Free boundary problems in shock reflection/diffraction and related transonic flow problems
• A computational method for inverse free boundary determination problem
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
• Free Boundary Determination in Nonlinear Diffusion
• Determination of a control parameter in the two-dimensional diffusion equation
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