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

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

Published 1968

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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