Work

A Comparative Analysis of Numerical Techniques: Euler-Maclaurin vs. Runge-Kutta Methods

Year: 2025

Type: article

Abstract: This study introduces a novel higher-order implicit correction method derived from the Euler-Maclaurin formula to enhance the approximation of initial value problems. The proposed method surpasses the Runge-Kutta approach in accuracy, stability, and convergence. An error bound is established to demonstrate its theoretical reliability. To validate its effectiveness, numerical experiments are conducted, showcasing its superior performance compared to conventional methods. The results consistently confirm that the proposed method outperforms the Runge-Kutta method across various practical applications.

Source: Journal of Robotics and Control (JRC)

DOI: 10.18196/jrc.v6i2.25566

Authors: Mohammad W. Alomari, Iqbal M. Batiha, Abeer Al-Nana, Mohammad Odeh, Nidal Anakira, Shaher Momani

Institutions: Jadara University, Al-Zaytoonah University of Jordan, Prince Sattam Bin Abdulaziz University, Jouf University, Sohar University, University of Jordan

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410312620

FWCI: 1.071

Cites:

Cited by: 1

Related to: 10