An inverse problem of finding the time-dependent diffusion coefficient from an integral condition

DOI10.1002/mma.3482zbMath1338.65225OpenAlexW1914652924WikidataQ59894379 ScholiaQ59894379MaRDI QIDQ2800508

M. S. Hussein, Mansur I. Ismailov, Daniel Lesnic

Publication date: 15 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/84756/1/kaya2.pdf

zbMATH Keywords

heat equationinverse problemnumerical examplesthermal diffusivityintegral conditionwell-posedness conditionnonlinear least squares optimization problem

Mathematics Subject Classification ID

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

Related Items (6)

On application of inverse problems with the nonlocal boundary conditions in the diffusion theory ⋮ Inverse Problem for Source Function in Parabolic Equation at Neumann Boundary Conditions ⋮ NONLOCAL INVERSE PROBLEM FOR DETERMINATION OF TIME DERIVATIVE COEFFICIENT IN A SECOND-ORDER PARABOLIC EQUATION ⋮ An inverse diffusion problem with nonlocal boundary conditions ⋮ On solvability of inverse problem for one eqaution of fourth order ⋮ Simultaneous reconstruction of time-dependent coefficients in the parabolic equation from over-specification conditions

Uses Software

• Matlab
• lsqnonlin

Cites Work

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• Inverse problems for the heat-conduction equation with nonlocal boundary conditions
• Determination of a time-dependent diffusivity from nonlocal conditions
• The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions
• ON A PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A PARABOLIC EQUATION
• The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data
• An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
• Combined energy method and regularization to solve the Cauchy problem for the heat equation
• Satisfier function in Ritz–Galerkin method for the identification of a time-dependent diffusivity

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