EPS & EPUS Step-size Control for Linear Multistep Method

Section: Research Paper
Issue
Vol. 3 No. 2 (2006): Volume 3 Issue 2
Pages
31-39

Keywords:

Ordinary differential equation, Adam-Bashforth-Moulton formula

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

References

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

Identifiers

DOI: 10.33899/csmj.2006.164049

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EPS & EPUS Step-size Control for Linear Multistep Method. (2006). AL-Rafidain Journal of Computer Sciences and Mathematics, 3(2), 31-39. https://doi.org/10.33899/csmj.2006.164049
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How to Cite

EPS & EPUS Step-size Control for Linear Multistep Method. (2006). AL-Rafidain Journal of Computer Sciences and Mathematics, 3(2), 31-39. https://doi.org/10.33899/csmj.2006.164049