An improved Trapezoidal rule for numerical integration

A. F. Abdulhameed, Q. A. Memon

Research output: Contribution to journalConference articlepeer-review

Abstract

Numerical Methods have attracted of research community for solving engineering problems. This interest is due to its practicality and the improvement of highspeed calculations done on current century processors. The increase in numerical method tools in engineering software, such as Matlab, is an example of the increased interest. In this paper, we are present a new improved numerical integration method, that is based on the well-known trapezoidal rule. The proposed method gives a great enhancement to the trapezoidal rule and overcomes the issue of the error value when dealing with some higher order functions even when solving for a single interval. After literature review, the proposed system is mathematically explained along with error analysis. Few examples are illustrated to prove improved accuracy of the proposed method over traditional trapezoidal method.

Original languageEnglish
Article number012104
JournalJournal of Physics: Conference Series
Volume2090
Issue number1
DOIs
Publication statusPublished - Dec 2 2021
Event10th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2021 - Virtual, Online, Greece
Duration: Sep 6 2021Sep 9 2021

Keywords

  • Improved trapezoidal rule
  • Numerical integration
  • Numerical methods
  • Trapezoidal rule

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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