Determination of a time-dependent diffusivity from nonlocal conditions |
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Authors: | D Lesnic S A Yousefi M Ivanchov |
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Institution: | 1. Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK 2. Department of Mathematics, Shahid Beheshti University, General Campus, Tehran, Iran 3. Department of Mathematics, Lviv National University, Lviv, Ukraine
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Abstract: | The inverse problem of determining the temperature and the time-dependent thermal diffusivity from various additional nonlocal information is investigated. These nonlocal conditions can come in the form of an internal or boundary energy, or, in the one-dimensional case, as a difference boundary temperature or heat flux so as to ensure the uniqueness of solution for the heat conduction equation with unknown thermal diffusivity coefficient. The Ritz-Galerkin method with satisfier function is employed to solve the inverse problems numerically. Numerical results are presented and discussed. |
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