Year: 2025
Type: article
Abstract: By using a large number of subdivisions n to obtain good accuracy in approximating the integral we note that an increase in the value of n does not necessarily mean an increase in accuracy in the result or even an improvement in the result. In addition, increasing the number n means an increase in the number of times the function values are calculated. The importance of Romberg's rule lies in improving the results obtained using the previous rules and obtaining high accuracy in arriving at approximate results faster and with a small amount of error. The reason for this is the high rank of the Romberg rule compared to the trapezoid rule, for example, which is not accurate in its results because the cutting error for this rule is of the order only.
Source: Mağallaẗ al-tarbiyaẗ wa-al-ʻilm
Author: Mustafa Nadhim Salim
Institution: University of Mosul
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $150
Funder: University of Mosul
OpenAlex ID: W4409197009