A new method for boundary value problems
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Authors
Heredia, Fernando N.
Subjects
Boundary value problems
New method for boundary value problems
New method for boundary value problems
Advisors
Salinas, David
Date of Issue
1985-03
Date
March 1985
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
Large matrix storage constitutes a limitation on the applicability of most numerical techniques including the Finite Element Method, when very accurate results are required. This is particularly true when dealing with Boundary Value Problems. In order to surpass this difficulty a new method to solve these problems has been devised which does not require matrix storage while still providing the possibility of accuracy improvement.
Although restricted to one-dimensional, linear differential equations of the form Y(n) (x) = f (x) this new approximating technique gives acceptable results. The method will perform equally well for problems with exact or non-exact integrable forcing functions, continuous or discontinuous, or functions existing only as a set of values at discrete points.
Type
Thesis
Description
Series/Report No
Department
Mechanical Engineering
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
Copyright is reserved by the copyright owner