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Convergence Properties of pth Order Diagonally Implicit Block Backward Differentiation Formulas


Paper Type 
Contributed Paper
Title 
Convergence Properties of pth Order Diagonally Implicit Block Backward Differentiation Formulas
Author 
Iskandar Shah Mohd Zawawi and Zarina Bibi Ibrahim
Email 
iskandarshahmz@yahoo.com; zarinabb@.upm.edu.my
Abstract:
This paper investigates the convergence properties for diagonally implicit 2-point block backward differentiation formulas of order two, three and four. The formulation of the method is reviewed from the literature. The order of the method is verified. The concepts of consistency and zero stability are considered to prove the convergence of the method.

Start & End Page 
601 - 606
Received Date 
2013-07-01
Revised Date 
Accepted Date 
2016-09-20
Full Text 
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Keyword 
order, diagonally implicit, block method, consistency, zero stability, convergence
Volume 
Vol.45 No.1 (January 2018)
DOI 
Citation 
Zawawi I.S.M. and Ibrahim Z.B., Convergence Properties of pth Order Diagonally Implicit Block Backward Differentiation Formulas, Chiang Mai J. Sci., 2018; 45(1): 601-606.
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