Convergence of the 2-Point block backward differentiation formulas.

In this paper, the 2-point Block Backward Differentiation Formulas (BBDF) methods proposed by Zarina et al. [8] for the numerical solution of initial value problems in Ordinary Differential Equations (ODEs) are reviewed. The zero stability and consistency which are necessary conditions for convergen...

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Bibliographic Details
Main Authors: Ibrahim, Zarina Bibi, Suleiman , Mohamed, Othman, Khairil Iskandar, Mohd Nasir, Nor Ain Azeany
Format: Article
Language:English
English
Published: Hikari Ltd 2011
Online Access:http://psasir.upm.edu.my/id/eprint/24910/1/Convergence%20of%20the%202.pdf
http://psasir.upm.edu.my/id/eprint/24910/
http://www.m-hikari.com/
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Summary:In this paper, the 2-point Block Backward Differentiation Formulas (BBDF) methods proposed by Zarina et al. [8] for the numerical solution of initial value problems in Ordinary Differential Equations (ODEs) are reviewed. The zero stability and consistency which are necessary conditions for convergence of the BBDF methods are studied. The order of the method is also determined.