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On the stability functions of second derivative implicit advanced-step point methods | ||
| Journal of Mathematical Modeling | ||
| دوره 10، شماره 2، شهریور 2022، صفحه 203-212 اصل مقاله (155.35 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.20196.1760 | ||
| نویسندگان | ||
| Gholamreza Hojjati* ؛ Leila Taheri Koltape | ||
| Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| In the construction of efficient numerical methods for the stiff initial value problems, some second derivative multistep methods have been introduced equipping with super future point technique. In this paper, we are going to introduce a formula for the stability functions of a class of such methods. This group of methods encompasses SDBDF methods and their extensions with advanced step-point feature. This general formula, instead of obtaining the distinct stability functions for each of methods, will facilitate stability analysis of the methods. | ||
| کلیدواژه‌ها | ||
| Initial value problem؛ second derivative methods؛ stability function؛ advanced-step point methods؛ stiff systems | ||
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آمار تعداد مشاهده مقاله: 654 تعداد دریافت فایل اصل مقاله: 923 |
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