Reconstructing an unknown time-dependent function in the boundary conditions of a parabolic PDE

DOI10.1016/j.amc.2013.10.074zbMath1354.35058OpenAlexW2049666363MaRDI QIDQ505746

Abdollah Shidfar, Reza Zolfaghari

Publication date: 26 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.074

zbMATH Keywords

inverse problemboundary conditionssystem of integral equationsSinc approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (3)

A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation ⋮ A parabolic inverse source problem with a dynamical boundary condition ⋮ Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem

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