The Periodicity of the Accuracy of Numerical Integration Methods for the Solution of Different Engineering Problems
Keywords:Numerical Integration Accuracy, Trapezoidal Rule, Simpson’s 1/3 Rule, Simpson’s 3/8 Rule, Weddle’s Rule
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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Copyright (c) 2021 Toukir Ahmed Chowdhury, Towhedul Islam, Ahmad Abdullah Mujahid, Md. Bayazid Ahmed
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