Accession Number : AD0662332

Title :   A REPRESENTATION FOR THE SOLUTION OF FREDHOLM INTEGRAL EQUATIONS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Kagiwada,H. H. ; Kalaba,R. E. ; Schmitzky,A.

Report Date : NOV 1967

Pagination or Media Count : 10

Abstract : The report gives a new representation formula for the solution of Fredholm integral equations of the second kind. The formula has certain computational advantages over the usual representation involving the resolvent or the representation formula of Krein. It makes use of the phi function and requires two integrations. The usual method of solution uses either the Fredholm resolvent (three variables) or the Krein representation, which requires differentiation as well as integration. The Bellman-Krein partial differential equation for the resolvent can also be obtained using this new formula.

Descriptors :   (*INTEGRAL EQUATIONS, PROBLEM SOLVING), NUMERICAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, THERMAL RADIATION

Subject Categories : Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE