An Initial-value Method Suitable for the Computation of Certain Fredholm Resolvents.
A new and effective method is provided for solving a certain class of Fredholm equations by digital computer. Here the resolvent of the Fredholm equation is characterized as the solution of an initial-value problem--a type of problem readily resolved by computer--and a numerical procedure is given that makes it possible to use the computer's ability to integrate large systems of ordinary differential equations with given initial conditions. Test calculations on a sample problem were completely successful. 25 pp. Refs.