Collocation with Polynomial and Taut Splines for Singularly Perturbed Boundary Value Problems.

Abstract

Collocation methods using both cubic polynomials and splines in tension are developed for second order linear singularly-perturbed two-point boundary value problems. Rules are developed for selecting tension parameters and collocation points. The methods converge outside of boundary layer regions without the necessity of using a fine discretization. Numerical examples comparing the methods are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA080311

Entities

People

  • J. E. Flaherty
  • William Mathon

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Errors
  • Exponential Functions
  • Intervals
  • Layers
  • New York
  • Partial Differential Equations
  • Polynomials
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)