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

Author(s):

Akram Movahedinejad , Ali Abdi * , Gholamreza Hojjati

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Backward differentiation formula , hybrid methods , General linear methods , $A$-- , $A(alpha)$--stability , Variable stepsize implementation

Language:
English
Published:
Computational Methods for Differential Equations, Volume:4 Issue: 3, Summer 2016
Pages:
217 to 229
https://www.magiran.com/p2104613  
سامانه نویسندگان
  • Hojjati، Gholam Reza
    Author (3)
    Hojjati, Gholam Reza
    Professor Mathematical Sciences, University Of Tabriz, تبریز, Iran
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