
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 initialvalue 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 initialvalue 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 initialvalue problem is also given, with subroutines written for an AdamsMoulton integration scheme with a RungeKutta 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