JOURNAL ARTICLE

Numerical Advancements: A Duel between Euler-Maclaurin and Runge-Kutta for Initial Value Problem.

  • Published In: International Journal of Neutrosophic Science (IJNS), 2025, v. 25, n. 3. P. 76 1 of 3

  • Database: Applied Science & Technology Source Ultimate 2 of 3

  • Authored By: Batiha, Iqbal M.; Alomari, Mohammad W.; Anakira, Nidal; Meqdad, Saad; Jebril, Iqbal H.; Momani, Shaher 3 of 3

Abstract

This work is dedicated to advancing the approximation of initial value problems through the introduction of an innovative and superior method inspired by the Euler-Maclaurin formula. This results in a higher-order implicit corrected method that outperforms the Runge-Kutta method in terms of accuracy. We derive an error bound for the Euler-Maclaurin higher-order method, showcasing its stability, convergence, and greater efficiency compared to the conventional Runge-Kutta method. To substantiate our claims, numerical experiments are provided, highlighting the exceptional efficiency of our proposed method over the traditional well-known methods. In conclusion, the proposed method consistently outperforms the Runge-Kutta method experimentally in all practical problems. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Neutrosophic Science (IJNS). 2025/03, Vol. 25, Issue 3, p76
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2025
  • ISSN:26926148
  • DOI:10.54216/IJNS.250308
  • Accession Number:182788487
  • Copyright Statement:Copyright of International Journal of Neutrosophic Science (IJNS) is the property of American Scientific Publishing Group and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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