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An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
Author(s) -
Ismailov Mansur I.,
Kanca Fatma
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1396
Subject(s) - overdetermination , mathematics , uniqueness , inverse problem , mathematical analysis , inverse , heat equation , boundary (topology) , boundary value problem , geometry , philosophy , epistemology
In this paper, the inverse problem of finding the time‐dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary and overdetermination conditions is considered. The existence, uniqueness and continuous dependence upon the data are studied. Some considerations on the numerical solution for this inverse problem are presented with the examples. Copyright © 2010 John Wiley & Sons, Ltd.