Asymptotic and Numerical Methods for Vector Systems of Singularly-Perturbed Boundary Value Problems.

Abstract

Procedures are developed for constructing asymptotic solutions for certain nonlinear singularly-perturbed vector two-point boundary value problems having boundary layers at one or both end points. The asymptotic approximations are generated numerically and can either be used as is or to furnish a two-point boundary value code (e.g. COLSYS) with an initial approximation and a nonuniform computational mesh. The procedures are applied to several examples involving the deformation of nonlinear elastic beams.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA122293

Entities

People

  • J. E. Flaherty
  • Robert E. O'malley Jr.

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • British Columbia
  • Cartesian Coordinates
  • Computations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Errors
  • Layers
  • Materials
  • Military Research
  • Nonlinear Systems
  • Numerical Analysis
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)