Centroidal Mean Derivative-Based Open Newton-Cotes Quadrature Rules-Reference-Cited by-同舟云学术

Centroidal Mean Derivative-Based Open Newton-Cotes Quadrature Rules

Published:2023-12-31 Issue:2 Volume:11 Page:138-154
ISSN:2309-0022
Container-title:VFAST Transactions on Mathematics
language:
Short-container-title:VFAST trans. math.

Author:

Mahesar Sara,Shaikh Muhammad Mujtaba,Chandio Muhammad Saleem,Shaikh Abdul Wasim

Abstract

In this work, a new derivative-based family of open Newton-Cotes quadrature rules based on centroidal mean (CMDONC) is proposed for the estimation of definite integrals. The error terms of the modified methods are derived through the concept of precision. The local and global order of accuracy and precision for each method is also computed. The results show that the proposed methods achieve two orders of accuracy enhancement over the conventional Newton-Cotes quadrature rules (ONC). Lastly, two numerical tests are also observed which demonstrate the superiority of CMDONC rules over the classical ONC methods.

Publisher

VFAST Research Platform

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