Convergence properties of pth order diagonally implicit block backward differentiation formulas

• Main Authors: Mohd Zawawi, Iskandar Shah, Ibrahim, Zarina Bibi
• Format: Article
• Language: English
• Published: Faculty of Science, Chiang Mai University 2018
• Online Access: http://psasir.upm.edu.my/id/eprint/72125/1/Convergence%20properties%20of%20pth%20order%20diagonally%20implicit%20block%20backward%20differentiation%20formulas.pdf; http://psasir.upm.edu.my/id/eprint/72125/; http://epg.science.cmu.ac.th/ejournal/journalDetail.php?journal_id=8776

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.