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A hybrid method with optimal stability properties for the numerical solution of stiff differential systems | ||
| Computational Methods for Differential Equations | ||
| مقاله 4، دوره 4، شماره 3، مهر 2016، صفحه 217-229 اصل مقاله (240.92 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Akram Movahedinejad؛ Ali Abdi* ؛ Gholamreza Hojjati | ||
| Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Backward differentiation formula؛ hybrid methods؛ General linear methods؛ $A$-- and $A(alpha)$--stability؛ Variable stepsize implementation | ||
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