The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data

DOI10.1080/17415977.2011.629093zbMath1259.65142arXiv1004.5505OpenAlexW2037577702MaRDI QIDQ3167884

Fatma Kanca, Mansur I. Ismailov

Publication date: 29 October 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5505

zbMATH Keywords

numerical exampleheat equationinverse problemnonlocal boundary conditionCrank-Nicolson finite difference schemetime-dependent diffusion coefficientintegral over-determination data

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Cites Work

• Unnamed Item
• Direct numerical method for an inverse problem of a parabolic partial differential equation
• Determination of source parameter in parabolic equations
• Inverse problems for the heat-conduction equation with nonlocal boundary conditions
• On a nonlocal boundary value problem with variable coefficients for the heat equation and the Aller equation
• ON A PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A PARABOLIC EQUATION
• Determination of a control parameter in a parabolic partial differential equation
• Simultaneous determination of unknown coefficients in a parabolic equation

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