An inverse time-dependent source problem for the heat equation with a non-classical boundary condition

DOI10.1016/j.apm.2015.01.058zbMath1443.35187OpenAlexW2040401096WikidataQ59896157 ScholiaQ59896157MaRDI QIDQ2285329

A. Hazanee, Nazim B. Kerimov, Mansur I. Ismailov, Daniel Lesnic

Publication date: 8 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2015.01.058

zbMATH Keywords

heat equationinverse source problemnon-classical boundary conditionsgeneralised Fourier method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

Related Items (11)

The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation ⋮ A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials ⋮ On recovering space or time-dependent source functions for a parabolic equation with nonlocal conditions ⋮ Unnamed Item ⋮ An inverse boundary value problem for transverse vibrations of a bar ⋮ An inverse source time-fractional diffusion problem via an input-output mapping ⋮ Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition ⋮ Identification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observation ⋮ Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions ⋮ Inverse source problem for heat equation with nonlocal Wentzell boundary condition ⋮ On stability and regularization for data-driven solution of parabolic inverse source problems

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