Inverse Problem for the Integral Dynamic Models with Discontinuous Kernels

The objective of this paper was to present a new inverse problem statement and numerical method for the Volterra integral equations with piecewise continuous kernels. For such first kind, it is assumed that kernel discontinuity curves are desired ones, but rest information known. resulting equation nonlinear respect which correspond integration bounds. A direct discretization posteriori verification calculations proposed. family quadrature rules employed approximation purposes. It shown arithmetic complexity proposed O(N3). has first-order convergence. generalization also case an arbitrary number curves. illustrative examples included demonstrate efficiency accuracy solver.