Levenberg-Marquardt
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Simultaneous recovery of multiple parameters in nonlocal diffusion equations from internal measurements
Announce Type: new Abstract: This paper is devoted to simultaneously recovering multiple parameters from internal measurements for nonlocal diffusion equations. The uniqueness of the inverse problem is established by employing the asymptotic behavior of solutions, analytic continuation, the Laplace transform, and properties of analytic functions. For numerical reconstruction, we apply the Levenberg-Marquardt method to obtain a stable approximate solution of the inverse problem.
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