A Projection Method for the Numerical Solution of a System of First-Order Nonlinear Differential Equations with Mixed Boundary Conditions.

Abstract

Because of the finite-dimensionality of any computing process, all algorithms for the numerical solution of two-point boundary value problems (TPBVP's) involve some kind of discretization. Quite a few discretization procedures can be formulated with the aid of projectors onto finite-dimensional subspaces of the solution space. These projection type methods have been shown, in combination with polynomial and piecewise polynomial functions, to be effective techniques for the solution of linear and mildly nonlinear nth order scalar differential equations with linear boundary conditions. Here the author discusses one particular projection method for a system of first-order nonlinear differential equations with mixed boundary conditions.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA013136

Entities

People

  • Hendrik M. Van Schieveen

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Nonlinear Differential Equations
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra

Technology Areas

  • Space