Accession Number : AD0670570

Title :   INVARIANT IMBEDDING AND FREDHOLM INTEGRAL EQUATIONS WITH DISPLACEMENT KERNELS ON AN INFINITE INTERVAL,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Kagiwada,H. H. ; Kalaba,R. E. ; Vereeke,B. J.

Report Date : MAY 1968

Pagination or Media Count : 15

Abstract : A new initial-value method is given for solving Fredholm integral equations on an infinite interval. Instead of solving the initial-value problem previously derived for the finite interval case and allowing the interval to tend to infinity, the method makes use of a generalized Ambarzumian integral equation in connection with an initial-value problem to solve the Fredholm equation. A numerical example from radiative transfer indicates that the results obtained by use of the method agree well with previously published results. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, PROBLEM SOLVING), (*THERMAL RADIATION, INTEGRAL EQUATIONS), BOUNDARY VALUE PROBLEMS, NUMERICAL METHODS AND PROCEDURES, APPROXIMATION(MATHEMATICS), ITERATIONS, CONVERGENCE

Subject Categories : Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE