Accession Number : AD0685709

Title :   THE INVARIANT IMBEDDING NUMERICAL METHOD FOR FREEDHOLM INTEGRAL EQUATIONS WITH DISPLACEMENT KERNELS,

Corporate Author : RAND CORP SANTA MONICA CALIF

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

Report Date : MAR 1969

Pagination or Media Count : 43

Abstract : A computer program for the solution of a Fredholm integral equation of the second kind with a displacement kernel is given. The Fredholm integral equation is transformed into an initial-value problem by treating the interval length as the independent variable. The method of reduction is invariant imbedding. The numerical integration is accomplished by using a fourth-order Adams-Moulton predictor-corrector method, with a fourth-order Runge-Kutta method to start the process. The program was used to solve the basic integral equation of radiative transfer, and results were compared with those obtained by Sobolev, by Viskanta, by Bellman, Kagiwada, and Kalaba, and by Heaslet and Warming. Results were in excellent agreement. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, TRANSFORMATIONS(MATHEMATICS), NUMERICAL INTEGRATION, COMPUTER PROGRAMS, THERMAL RADIATION

Subject Categories : Operations Research
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE