An Analysis of the Use of Green's Functions to Eliminate Inherent Instabilities in Finite Difference Equations.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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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 Greens functions. The integral equation is integrated numerically using Simpsons and trapazoidal rules for two specific examples to determine if the Greens function method eliminates inherent instabilities formerly associated with the numerical integration of the original differential equation. It is found that the Greens function method does not eliminate inherent instabilities. Author
- Numerical Mathematics