An inverse problem for a linear diffusion equation with nonlinear boundary condition

DOI10.1016/0893-9659(89)90094-3zbMath0709.35099OpenAlexW1995978871MaRDI QIDQ921273

Hamid R. Nikoofar, Abdullah Shidfar

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90094-3

zbMATH Keywords

nonlinear boundary conditionunknown radiation termunique stable solution

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05) Inverse problems for PDEs (35R30)

Related Items (7)

A numerical solution of an inverse parabolic problem with unknown boundary conditions ⋮ Reconstruction of boundary condition laws in heat conduction using the boundary element method ⋮ Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem ⋮ A numerical method for solving of a nonlinear inverse diffusion problem ⋮ Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem ⋮ Application of sinc-collocation method for solving an inverse problem ⋮ Numerical method for the simultaneous determination of unknown parameters in a parabolic equation

Cites Work

• Parameter determination in parabolic partial differential equations from overspecified boundary data
• Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem
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