Accession Number:

AD0670570

Title:

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

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Kagiwada,H. H.
• Kalaba,R. E.
• Vereeke,B. J.

Report Date:

1968-05-01

Pagination or Media Count:

15.0

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