A New Method for Boundary Value Problems.

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 to the n th power (X) = f(x) this new approximating techniques 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. Keywords include: Boundary Value Problems, New Method for Value Boundary Problems.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA155934

Entities

People

  • N. F. Heredia

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Artificial Intelligence
  • Bending Moments
  • Boundaries
  • Boundary Value Problems
  • Computer Programming
  • Computer Programs
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Error Analysis
  • Errors
  • Linear Differential Equations
  • Mechanical Engineering
  • Precision

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Operations Research
  • Systems Analysis and Design