EPS & EPUS Step-size Control for Linear Multistep Method

Abbas Y. Al-Bayati; Ann J. Al-Sawoor; Abbas H. Taqi

EPS & EPUS Step-size Control for Linear Multistep Method

Section: Research Paper

Issue

Vol. 3 No. 2 (2006): Volume 3 Issue 2

Published

Jun 25, 2025

Pages

31-39

Abstract

In this paper we consider step-size control in one class of Adams linear multi-step methods for Ordinary differential equation. Theoretical results are presented for Adam-Bashforth-Moulton formula using both Error-per-step (EPS) & Error-per-Unit -Step (EPUS) controls. These obtained by considering a 2D system of the form:

where and

Authors

Abbas Y. Al-Bayati

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Ann J. Al-Sawoor

College of Computer sciences and Mathematics University of Mosul, Iraq

Abbas H. Taqi

College of Science University of Kirkuk

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How to Cite

Y. Al-Bayati, A., عباس, J. Al-Sawoor, A., ان, H. Taqi, A., & عباس. (2025). EPS & EPUS Step-size Control for Linear Multistep Method. AL-Rafidain Journal of Computer Sciences and Mathematics, 3(2), 31–39. Retrieved from https://rjps.uomosul.edu.iq/index.php/csmj/article/view/19343