ON PERTURBATION METHODS INVOLVING EXPANSIONS IN TERMS OF A PARAMETER,

Abstract

It is shown by means of some examples from the theories of linear algebraic equations, linear integral equations, and nonlinear differential equations that the effectiveness of the method of expanding the solution in terms of a parameter may be greatly increased in many cases by expanding in terms of a suitably chosen function of the parameter. This is particularly true when the physical setting of the equation allows only positive values of the parameter to enter. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 25, 1953
Accession Number
AD0604288

Entities

People

  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Linear Algebraic Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis