Accession Number : AD0669342

Title :   THE INVARIANT IMBEDDING NUMERICAL METHOD FOR FREDHOLM INTEGRAL EQUATIONS WITH DEGENERATE KERNELS,

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 : 31

Abstract : The report describes application of invariant imbedding in deriving an initial-value method for solving Fredholm integral equations with degenerate kernels. By regarding the solution at a fixed point as a function of the interval of integration, a differential equation is obtained; this equation, combined with knowledge of the solution for one interval length, makes it possible to determine the solution for other lengths. The principal advantage of the initial-value formulation is its ease of resolution by modern digital and analog computers. Emphasis is on the inhomogeneous problem, although some remarks on the eigenvalue problem are included. A FORTRAN program for solving the initial-value problem is also given, with subroutines written for an Adams-Moulton integration scheme with a Runge-Kutta start. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES), DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, CAUCHY PROBLEM, MATRICES(MATHEMATICS), EXPONENTIAL FUNCTIONS, COMPUTER PROGRAMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE