Application of Splines to the Numerical Solution of Two-Point Boundary- Value Problems

Abstract

In the search for better methods to solve the Navier-Stokes equations, this is a preliminary test of spline collocation, or the application of spline collocation to solve two-point boundary-value problems. Pertinent spline theory and the spline collocation method are developed from first principles. The problems considered are nonlinear, third-order, ordinary differential equations. A FORTRAN IV computer program to solve such problems is described, and a source deck listing is included. Several sample problems solved by the program are presented.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA062682

Entities

People

  • Donald C. Todd
  • John C. Adams Jr.

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Computer Programs
  • Computers
  • Differential Equations
  • Dispersions
  • Engineering
  • Equations
  • Fluid Flow
  • Interpolation
  • Navier Stokes Equations
  • Three Dimensional
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Computer Science.