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EPS & EPUS Step-size Control for Linear Multistep Method | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 3, Volume 3, Issue 2, 2006, Pages 31-39 PDF (317.9 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2006.164049 | ||
| Authors | ||
| Abbas Y. Al-Bayati1; Ann J. Al-Sawoor2; Abbas H. Taqi3 | ||
| 1College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| 2College of Computer sciences and Mathematics University of Mosul, Iraq | ||
| 3College of Science University of Kirkuk | ||
| 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 | ||
| Keywords | ||
| Ordinary differential equation; Adam-Bashforth-Moulton formula | ||
|
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