An Analysis of the Use of Green's Functions to Eliminate Inherent Instabilities in Finite Difference Equations.
Abstract
A general second order ordinary differential equation with variable coefficients and initial conditions is transformed to a Volterra integral equation of the second kind by using Green's functions. The integral equation is integrated numerically using Simpson's and trapazoidal rules for two specific examples to determine if the Green/s function method eliminates inherent instabilities formerly associated with the numerical integration of the original differential equation. It is found that the Green's function method does not eliminate inherent instabilities. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1969
- Accession Number
- AD0855169
Entities
People
- Daniel D. Young
Organizations
- Air Force Institute of Technology