Heronian Mean Derivative-Based Open Newton-Cotes Quadrature Rules (Record no. 814737)

MARC details
000 -LEADER
fixed length control field 01871aab a2200253 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240117b20232023|||gr||| |||| 00| 0 eng d
022 ## - INTERNATIONAL STANDARD SERIAL NUMBER
International Standard Serial Number 2304-716x
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Mahesar, Sara.
9 (RLIN) 879982
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Shaikh, Muhammad Mujtaba.
9 (RLIN) 679912
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Chandio, Muhammad Saleem.
9 (RLIN) 879983
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Shaikh, Abdul Wasim.
9 (RLIN) 678803
245 ## - TITLE STATEMENT
Title Heronian Mean Derivative-Based Open Newton-Cotes Quadrature Rules
300 ## - PHYSICAL DESCRIPTION
Extent 31-46 p.
520 ## - SUMMARY, ETC.
Summary, etc. A Novel family of open Newton-Cotes (ONC) formulas is devised for evaluating the definite integrals. The new family is developed by using the Heronian mean in the first-order derivatives of the integrand within the interval [a,b]. the devised Heronian mean derivative-based quadrature rules (HRMDONC) achieve two orders of accuracy enhancement over the conventional ONC quadrature rules. these formulas are derived using the idea of degree of precision. theorems regarding the degree of precision and order of accuracy are also derived along with the local and global error terms. in addition, the computational order of accuracy of each method is computed confirming the theoretical results. computational cost and absolute error drops are also determined for three different integrals from the literature which demonstrate the superiority of the proposed HRMDONC methods over the classical ONC.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Open Newton-Cotes Rules
9 (RLIN) 879984
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Heronian Mean
9 (RLIN) 879985
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Derivative-Based Errors
9 (RLIN) 879986
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Precision
9 (RLIN) 133899
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Accuracy
9 (RLIN) 678822
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Definite Integrals
9 (RLIN) 247676
773 0# - HOST ITEM ENTRY
International Standard Serial Number 10233873
Title NED University Journal of Research Formerly NED University Journal of Engineering Research
Place, publisher, and date of publication Karachi, Pakistan : NED University of Engineering and Technology
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://dio.org/10.35453/NEDJR-ASCN-2023-0028.R1">https://dio.org/10.35453/NEDJR-ASCN-2023-0028.R1</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Suppress in OPAC No
Koha item type Articles
-- 14993
-- Mr. Muhammad Rafique Al Haj Rajab Ali (Late)
Holdings
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  Periodical Section Vol.XX No.4 (December 2023)   17/01/2024 Articles