Digital computer solution of linear and nonlinear ordinary differential equations

Abstract

A digital computer program which will provide accurate and stable solutions of linear and nonlinear ordinary differential equation is described, as are subprograms which simulate many of the nonlinearities occurring in feedback control systems. The program employs fourth order Runge-Kutta numerical integration with automatic error checking and interval modification. Specialized coding sheets assist in the preparation of input data, and built-in print and graph output routines provide a permanent record of input equations, parameter values and output data for each solution. The program is flexible, yet it can be used by a person with only a rudimentary knowledge of FORTRAN programming.