Open AccessThe Periodicity of the Accuracy of Numerical Integration Methods for the Solution of Different Engineering Problems
Author(s) -
Toukir Ahmed Chowdhury,
Towhedul Islam,
Ahmad Abdullah Mujahid,
Md. Bayazid Ahmed
Publication year - 2021
Publication title -
journal of engineering advancements
Language(s) - English
Resource type - Journals
eISSN - 2708-6437
pISSN - 2708-6429
DOI - 10.38032/jea.2021.04.006
Subject(s) - correctness , numerical integration , maple , python (programming language) , mathematics , numerical analysis , trapezoidal rule , computer science , matlab , calculus (dental) , algorithm , mathematical analysis , programming language , medicine , botany , dentistry , biology
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.