On the Numerical Solution of a Hyperbolic Inverse Boundary Value Problem in Bounded Domains

We consider the inverse problem of reconstructing boundary curve a cavity embedded in bounded domain. The is formulated two dimensions for wave equation. combine Laguerre transform with integral equation method and we reduce to system equations. propose an iterative scheme that linearizes using Fréchet derivative forward operator. application special quadrature rules results ill-conditioned linear which solve Tikhonov regularization. numerical show proposed produces accurate stable reconstructions.