Open Newton-Cotes Quadrature Rules with Derivatives

Authors

  • Shehzad Abbas Khan Department of Basic Sciences SALU, Sukkur, Sindh, Pakistan

DOI:

https://doi.org/10.63163/jpehss.v3i2.512

Keywords:

Numerical integration, open Newton-Cotes formula, defined integral, arithmetic mean, geometric mean, numerical examples.

Abstract

In this research paper, a new family of numerical integration of open Newton-Cotes is
introduced which uses the mean of arithmetic and geometric means at derivative value for the evaluation of
a certain integral. These quadrature methods are shown to be more efficient than the existing quadrature
rules. The error terms are obtained by using the concept of precision. Finally, the accuracy of proposed
method is verified with numerical examples and the results are compared with existing methods numerically
and graphically

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Published

2025-06-30

How to Cite

Shehzad Abbas Khan. (2025). Open Newton-Cotes Quadrature Rules with Derivatives. Physical Education, Health and Social Sciences, 3(2), 104–109. https://doi.org/10.63163/jpehss.v3i2.512

Issue

Vol. 3 No. 2 (2025): Physical Education, Health and Social Sciences (April - June 2025)

Section

Numerical Science and Engineering