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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Bibliographic Details
Main Author: Xianzheng Jia
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/9504829
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