Accession Number : AD0690126

Title :   PROOF OF THE BASIC INVARIANT IMBEDDING METHOD FOR FREDHOLM INTEGRAL EQUATIONS WITH DISPLACEMENT KERNELS. II,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Casti,J. ; Kalaba,R.

Report Date : JUN 1969

Pagination or Media Count : 18

Abstract : The report discusses a validation for the invariant imbedding method for the case of a general forcing term g in the Fredholm integral equation. The theorem developed here begins with the analytic results of AD-690 125 (in which the discussion is limited to the case when the forcing term g is an exponential function) and completes the formal validation for initial-value procedures by showing that the solution of a Cauchy problem satisfies the original functional equation. The analytical results of these two studies will be of computational interest in that they add to the feasibility and efficacy of the imbedding approach. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, TRANSFORMATIONS(MATHEMATICS)), (*CAUCHY PROBLEM, NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, THERMAL RADIATION, NUMERICAL INTEGRATION, IDENTITIES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE