A NONLINEAR SINGULAR PERTURBATION PROBLEM ARISING IN THE STUDY OF CHEMICAL FLOW REACTORS.

Abstract

The paper presents a method of obtaining the complete asymptotic solution of boundary value problems of the form epsilon y'' - b(x)y' - g(s,y) = 0; ey'(0) = y(0) - alpha; y'(1) = beta for x epsilon (0,1) where b(x) is strictly positive and for epsilon small and positive. Physically, the problem arises in determining the steady-state concentration of a substance in a chemical flow reactor. A 'two-variable' expansion procedure is used. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1968
Accession Number
AD0674458

Entities

People

  • R. E. O'malley Jr.

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Perturbations
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Organic Chemistry