Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions

DOI10.1016/j.amc.2011.09.044zbMath1247.65126OpenAlexW2063108965MaRDI QIDQ426950

Mansur I. Ismailov, Fatma Kanca, Daniel Lesnic

Publication date: 13 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.044

zbMATH Keywords

inverse problem finite difference method numerical examples parabolic equation heat source Fourier method Crank-Nicolson integral overdetermination condition mollification method

Mathematics Subject Classification ID

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

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