A Lipschitz Stability Estimate for the Inverse Source Problem and the Numerical Scheme
We consider the inverse source problem for heat equation, where the source term has the form f(t)ϕ(x). We give a numerical algorithm to compute unknown source term f(t). Also, we give a stability estimate in the case that f(t) is a piecewise constant function.
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Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Wiley
2016-01-01
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Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2016/9504829 |
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