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A Lipschitz Stability Estimate for the Inverse Source Problem and the Numerical Scheme

Xianzheng Jia

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: 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.

Date: 2016
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https://doi.org/10.1155/2016/9504829

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