Integral Green's Function Solutions to Differential Equations.
Abstract
This report is the result of the author's investigations into the numerical solution of ordinary and partial differential equations. Green's Functions were used to convert the differential equations into integral form. The method of finite differences is a common, well known method. The Method of Weighted Residuals was used a third method of solution. The main purpose of this thesis was to compare the accuracy and advantages and disadvantages of the integral equation Green's Function method to the other methods. A second purpose was to add to the author's own knowledge on how to solve differential equations. This effort also served to strengthen his own abilities to write computer programs. He has tried to give enough details on his derivations and equations used in programming that others could use these in solving their own problems with these methods.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 05, 1983
- Accession Number
- ADA138077
Entities
People
- W. H. Ameling
Organizations
- Air Force Institute of Technology