On the Solution of Ordinary Linear Differential Equations by Means of Numerical Integration Operators

Abstract

Operators of numerical integration of functions are constructed. Also considered is the question of estimating the total error. The operators are applied to the solution of a problem with initial conditions for ordinary linear differential equations with constant coefficients. It was determined that the process of finding the solution of a differential equation of the type being examined by means of numerical integration operators reduces to arithmetic operations with numerical matrices and, consequently, is highly suitable for computer realization. An example is given, illustrating the advantages of the proposed method.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 04, 1971
Accession Number
AD0740892

Entities

People

  • A. V. Nesterchuk

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Complex Variables
  • Computers
  • Differential Equations
  • Distribution Functions
  • Equations
  • Errors
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Numerical Integration
  • Real Variables
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Regression Analysis.
  • Robotics and Automation.