An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition |
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Authors: | Irem Baglan Fatma Kanca |
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Institution: | 1. Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey;2. Department of Information Technologies, Kadir Has University 34083, Istanbul, Turkey |
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Abstract: | In this paper, the inverse problem of finding the time‐dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity and consistency conditions on the input data, the existence, uniqueness, and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | quasilinear parabolic equation inverse problem periodic boundary conditions finite difference method integral overdetermination condition |
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