New difference equation technique for solving nonlinear differential equations

  • Authors:
  • James M. Hurt

  • Affiliations:
  • IBM Corporation, Kingston, New York

  • Venue:
  • AFIPS '64 (Spring) Proceedings of the April 21-23, 1964, spring joint computer conference
  • Year:
  • 1964

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Abstract

This paper will discuss a new mathematical technique for the solution of nonlinear differential equations. The types of equations and nonlinearities presented are those associated with feedback control systems. Originally developed as a method for simulating control systems, the technique was verified during a recent study of complex aircraft design simulations. It is now being used in a man-in-the-loop Gemini spacecraft simulation.