The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Semidegenerate Kernels.

by Robert E. Kalaba, B. J. Vereeke


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A method using invariant imbedding is given for converting Fredholm integral equations with semidegenerate kernels into equivalent initial-value problems that can be solved effectively by analog or digital computers. In this formulation of the initial-value problem the interval length is viewed as an essential variable. A proof is given showing that the solution of the initial-value problem yields a solution of the Fredholm integral equation. Results of test calculations are presented, as well as a FORTRAN program. 43 pp. Refs.

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