African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 262

Full Length Research Paper

Development of a mathematical model for error propagation in engineering calculations involving many variables function

  S. K. Fasogbon
Department of Mechanical Engineering, Obafemi Awolowo University, Ile-Ife, Nigeria.
Email: [email protected]

  •  Accepted: 19 March 2009
  •  Published: 30 April 2009

Abstract

 

In this research, a mathematical model for error propagations in many variables functions had been developed. The development employs both Taylor theorem and binomial coefficient of expansion. Verification of the models were done through computer simulation by comparing the results of the model with the actual difference between the result given by the function in question, when computed with ‘error variable’ and the same function when computed with ‘error free variable’.  The results given by the model proposed, gave good results for error propagation that were not  significantly different from that obtained from the actual difference between the results of the error variable functions and ‘error free variable’ functions.

 

Key words:  Mathematical model, error propagation, many variables function, engineering calculation.