eprintid: 14678
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/46/78
datestamp: 2023-11-10 03:29:16
lastmod: 2023-11-10 03:29:16
status_changed: 2023-11-10 01:57:32
type: conference_item
metadata_visibility: show
creators_name: Soomro, H.
creators_name: Daud, H.
creators_name: Zainuddin, N.
title: Convergence of the 3-point block backward differentiation formulas with off-step point for stiff ODEs
ispublished: pub
keywords: Ordinary differential equations, Backward differentiation formulae; Block methods; Consistency property; Mathematica- software; Stiff odes; Stiff ordinary differential equations; Three solutions, Iterative methods
note: cited By 1; Conference of 10th International Seminar on New Paradigm and Innovation of Natural Sciences and itsApplication, ISNPINSA 2020 ; Conference Date: 24 September 2020 Through 25 September 2020; Conference Code:170730
abstract: Development of 3-Point Block Method with one off-step point using Backward Differentiation Formula (BDF) is presented in this paper to find out the solution for stiff Ordinary Differential Equation (ODEs). By considering the Backward Differentiation Formulas (BBDF), the block method has been derived. It is well known that BBDF is used for solving stiff ODEs. The strategy for the development of this process is to compute three solution values with one off-step point concurrently to each iteration. One off-step point is added in the implicit BBDF method for better accuracy. Derivation of the formulae and consistency properties are generated in this paper. Numerically the proposed method with order five is achieved as a result. Mathematica software has been used for the derivation and consistency of the method. © Published under licence by IOP Publishing Ltd.
date: 2021
publisher: IOP Publishing Ltd
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85112017041&doi=10.1088%2f1742-6596%2f1943%2f1%2f012137&partnerID=40&md5=32a9ce1b6d18087ab160b91899adbc60
id_number: 10.1088/1742-6596/1943/1/012137
full_text_status: none
publication: Journal of Physics: Conference Series
volume: 1943
number: 1
refereed: TRUE
issn: 17426588
citation:   Soomro, H. and Daud, H. and Zainuddin, N.  (2021) Convergence of the 3-point block backward differentiation formulas with off-step point for stiff ODEs.  In: UNSPECIFIED.