DETERMINATION OF SOME PROCEDURES WITH A HIGH ORDER OF EXACTNESS FOR THE NUMERICAL INTEGRATION OF DIFFERENTIAL EQUATIONS,

Abstract

Procedures of high order of exactness are established for the numerical integration of firstorder differential equations requiring a very small number of substitutions in the differential equation. Procedures are described for seventhorder exactness requiring only 2 substitutions in the differential equation, seventh order exactness requiring 3 substitutions in the differential equation, and the eight order of exactness also requiring 3 substitutions in the differential equation. The differential equation is transformed as convenient by 2 generalizations of a transformation which allows the obtaining of procedures of sixth-order exactness requiring 3 substitutions in the differential equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0432547

Entities

People

  • A. Cotiu

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics
  • Numerical Integration
  • Precision

Fields of Study

  • Mathematics

Readers

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