The Periodicity of the Accuracy of Numerical Integration Methods for the Solution of Different Engineering Problems

Authors

  • Toukir Ahmed Chowdhury Department of Mechanical Engineering, Chittagong University of Engineering & Technology, Chattogram-4349, Bangladesh
  • Towhedul Islam Department of Mechanical Engineering, Chittagong University of Engineering & Technology, Chattogram-4349, Bangladesh
  • Ahmad Abdullah Mujahid Department of Mechanical Engineering, Chittagong University of Engineering & Technology, Chattogram-4349, Bangladesh
  • Md. Bayazid Ahmed Department of Mechanical Engineering, Chittagong University of Engineering & Technology, Chattogram-4349, Bangladesh

DOI:

https://doi.org/10.38032/jea.2021.04.006

Keywords:

Numerical Integration Accuracy, Trapezoidal Rule, Simpson’s 1/3 Rule, Simpson’s 3/8 Rule, Weddle’s Rule

Abstract

Newton-Cotes integration formulae have been researched for a long time, but the topic is still of interest since the correctness of the techniques has not yet been explicitly defined in a sequence for diverse engineering situations. The purpose of this paper is to give the readers an overview of the four numerical integration methods derived from Newton-Cotes formula, namely the Trapezoidal rule, Simpson's 1/3rd rule, Simpson's 3/8th rule, and Weddle's rule, as well as to demonstrate the periodicity of the most accurate methods for solving each engineering integral equation by varying the number of sub-divisions. The exact expressions by solving the numerical integral equations have been determined by Maple program and comparisons have been done using Python version 3.8.

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Published

23-12-2021
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How to Cite

Chowdhury, T. A., Islam, T., Mujahid, A. A. . ., & Ahmed, M. B. . . (2021). The Periodicity of the Accuracy of Numerical Integration Methods for the Solution of Different Engineering Problems. Journal of Engineering Advancements, 2(04), 203–216. https://doi.org/10.38032/jea.2021.04.006

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Research Articles