Convergence Properties of pth Order Diagonally Implicit Block Backward Differentiation Formulas
Iskandar Shah Mohd Zawawi and Zarina Bibi Ibrahim* Author for corresponding; e-mail address: iskandarshahmz@yahoo.com; zarinabb@.upm.edu.my
Volume: Vol.45 No.1 (January 2018)
Research Article
DOI:
Received: 1 July 2013, Revised: -, Accepted: 20 September 2016, Published: -
Citation: Zawawi I.S.M. and Ibrahim Z.B., Convergence Properties of pth Order Diagonally Implicit Block Backward Differentiation Formulas, Chiang Mai Journal of Science, 2018; 45(1): 601-606.
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.