AN INTEGRAL EQUATION AND A REPRESENTATION FOR A GREEN'S FUNCTION,
Abstract
The report discusses a method for representing a Green's function using a Fredholm integral equation for which effective solution methods are known. The final step in the mathematical solution of many problems in mathematical physics and engineering is the solution of a linear two-point boundary differential equation, of which the Green's function provides the solution of interest. Green's functions have been regarded as only of theoretical interest because of the difficulty of computing them. An initial-value method using Hadamard's variational formula was presented in AD-648 654; the present study gives an alternative method in which the differential equations and auxiliary conditions are transformed into integral equations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1967
- Accession Number
- AD0660097
Entities
People
- A. Schumitzky
- Harriet H. Kagiwada
- R. Sridhar
- Robert E. Kalaba
Organizations
- RAND Corporation