A hybrid method with optimal stability properties for the numerical solution of stiff differential systems

سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 207

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شناسه ملی سند علمی:

JR_CMDE-4-3_004

تاریخ نمایه سازی: 15 اسفند 1401

چکیده مقاله:

In this paper, we consider the construction of a new class of numerical methods based on the backward differentiation formulas (BDFs) that be equipped by including two off--step points. We represent these methods from general linear methods (GLMs) point of view which provides an easy process to improve their stability properties and implementation in a variable stepsize mode. These superiorities are confirmed by the numerical examples.

نویسندگان

Akram Movahedinejad

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Ali Abdi

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Gholamreza Hojjati

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran