A COMPARISON OF FORTRAN AND SYMBOLIC PROGRAMMING ON THE IBM 1620 COMPUTER

Abstract

A comparison is made of the relative merits of SPS (Symbolic Programming System), a 12-digit system with rounding, and FORTRAN, an 8-digit system with cut-off, for integrating two differential equations (each of a different type) with known solutions on the IBM 1620 Computer. The first differential equation is non-linear and propagates round-off and truncation errors badly. The second, Bessel's differential equation of order zero, is rather stable, except at the origin. Various intervals of integration (ranging from .05 to .002) were used with the Runge-Kutta fourth order integration formula. The results list the exact values, the calculated values, and errors associated with the two methods. Sample Fortran and SPS programs are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1962
Accession Number
AD0274538

Entities

People

  • James C. Caslin
  • Mary D. Lum

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Computer Programming
  • Computers
  • Computing-Related Activities
  • Differential Equations
  • Equations
  • Intervals
  • Mathematics
  • Symbolic Programming
  • Truncation

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)