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Use of Green's functions in the numerical solution of two-point boundary value problemsThis study investigates the use of Green's functions in the numerical solution of the two-point boundary value problem. The first part deals with the role of the Green's function in solving both linear and nonlinear second order ordinary differential equations with boundary conditions and systems of such equations. The second part describes procedures for numerical construction of Green's functions and considers briefly the conditions for their existence. Finally, there is a description of some numerical experiments using nonlinear problems for which the known existence, uniqueness or convergence theorems do not apply. Examples here include some problems in finding rendezvous orbits of the restricted three body system.
Document ID
19740050642
Document Type
Conference Proceedings
Authors
Gallaher, L. J.
Perlin, I. E. (Georgia Institute of Technology Atlanta, Ga., United States)
Date Acquired
August 7, 2013
Publication Date
January 1, 1974
Subject Category
MATHEMATICS
Distribution Limits
Public
Copyright
Other