ON SOME EXTENSIONS OF A FEHLBERG TRANSFORMATION,

Abstract

This paper gives a class of procedures of the fourth order of accuracy, a fifth order procedure and a class of procedures of the sixth order of accuracy for numerically integrating differential equations of the first order. For these, there are used two extensions of a transformation given by E. Fehlberg which must be made on the differential equation. The application of those procedures requires a minimum number of substitutions in the transformed differential equation. Thus, for applying procedures of the fourth and fifth orders of accuracy, a single substitution is necessary, and for applying procedures of the sixth order of accuracy, two substitutions in the transformed differential equation are required.

Document Details

Document Type
Technical Report
Publication Date
Aug 20, 1964
Accession Number
AD0605383

Entities

People

  • A. Cotiu

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Differential Equations
  • Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis