Invariant Imbedding and Fredholm Integral Equations with Displacement Kernels on an Infinite Interval.

by H. H. Natsuyama, Robert E. Kalaba, B. J. Vereeke


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A new initial-value method is given for solving Fredholm integral equations on an infinite interval. Instead of solving the initial-value problem previously derived for the finite interval case and allowing the interval to tend to infinity, the method makes use of a generalized Ambarzumian integral equation in connection with an initial-value problem to solve the Fredholm equation. A numerical example from radiative transfer indicates that the results obtained by use of the method agree well with previously published results. 15 pp. Refs.

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