eprintid: 19980
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/99/80
datestamp: 2024-06-04 14:19:43
lastmod: 2024-06-04 14:19:43
status_changed: 2024-06-04 14:16:20
type: conference_item
metadata_visibility: show
creators_name: Jamaludin, N.
creators_name: Zainuddin, N.
creators_name: Soomro, H.
creators_name: Awang, R.J.
title: The convergence and stability analysis of 2-point block backward differential formula with additional second derivative term
ispublished: pub
note: cited By 0; Conference of 29th National Symposium on Mathematical Sciences, SKSM 2022 ; Conference Date: 7 September 2022 Through 8 September 2022; Conference Code:196194
abstract: The main contribution in this paper is to introduce the second derivative term for block method to solve stiff Ordinary Differential Equation (ODE) problems. The method has been derived by considering the Backward Differential Formula (BDF) that is well known used for solving stiff ODEs. The suggestion of adding second derivative term in the solution steps is to increase the stability region of the block method. The convergence properties of the derived method which include order, zero stability and consistency are discussed. The theoretical results based on the convergence properties and the region of stability shows that the derive method is convergent and A-stable. To conclude the proposed method 2BBDFSD is suitable to be used as a stiff ODE solver. © 2024 Author(s).
date: 2024
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182562351&doi=10.1063%2f5.0171630&partnerID=40&md5=d24d60b0f3939c02574f36b38f04c058
id_number: 10.1063/5.0171630
full_text_status: none
publication: AIP Conference Proceedings
volume: 2905
number: 1
refereed: TRUE
citation:   Jamaludin, N. and Zainuddin, N. and Soomro, H. and Awang, R.J.  (2024) The convergence and stability analysis of 2-point block backward differential formula with additional second derivative term.  In: UNSPECIFIED.