Addresses solving an inverse problem in wave equations, indicating a novel algorithm's potential effectiveness.
We consider the inverse problem of determining the oscillation function in the support of a “thin” finite oscillation source in the wave equation based on wave field measurements in a distant plane. By applying the Fourier transform, the problem is reduced to a parametric set of one-dimensional Volterra-like integral equations of the first kind. Conditions for the uniqueness of a solution are established. A numerical algorithm for solving this inverse problem is proposed and investigated. The capabilities and features of the algorithm are illustrated by numerical experiments.
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Bakushinskii et al. (2026) studied this question.
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