An inverse problem for a semi-linear wave equation: A numerical study
نویسندگان
چکیده
We consider an inverse problem of recovering a potential associated to semi-linear wave equation with quadratic nonlinearity in $ 1+1 dimensions. develop numerical scheme determine the from noisy Dirichlet-to-Neumann map on lateral boundary. The is based recent higher order linearization method employed [23]. also present approach numerically estimating two-dimensional derivatives data via Tikhonov regularization. methods are tested using synthetic measurements map. Various examples reconstructions functions given.
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ژورنال
عنوان ژورنال: Inverse Problems and Imaging
سال: 2023
ISSN: ['1930-8345', '1930-8337']
DOI: https://doi.org/10.3934/ipi.2023022