Abstract
Fredholm integral equations of the first kind are examples of ill-posed problems in the Hadamard sense. Conventional methods of discretization often result in an ill-conditioned system of equations. The traditional approach is to solve this system using a variety of regularization schemes. An alternative is to solve the system using connectionist paradigms. The robustness of this approach is illustrated by using a fully connected network that resembles a Hopfield network.
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