Cover Image

Development of a-stable block method for the solution of stiff ordinary differential equations

A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method...

Full description

Saved in:
Bibliographic Details
Main Authors: Mohamad Noor, Nursyazwani, Ibrahim, Zarina Bibi
Format: Article
Language:English
Published: Medwell Publications 2019
Online Access:http://psasir.upm.edu.my/id/eprint/81149/1/A%20STABLE.pdf
http://psasir.upm.edu.my/id/eprint/81149/
https://medwelljournals.com/abstract/?doi=jeasci.2019.8160.8167
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.81149
record_format eprints
spelling my.upm.eprints.811492020-09-09T07:46:38Z http://psasir.upm.edu.my/id/eprint/81149/ Development of a-stable block method for the solution of stiff ordinary differential equations Mohamad Noor, Nursyazwani Ibrahim, Zarina Bibi A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method are determined. To validate the new method is suitable for solving stiff ODEs, the stability and convergence properties are discussed. Numerical results indicate that the new method produced better accuracy than the existing methods when sloving the same problems. Medwell Publications 2019 Article NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/81149/1/A%20STABLE.pdf Mohamad Noor, Nursyazwani and Ibrahim, Zarina Bibi (2019) Development of a-stable block method for the solution of stiff ordinary differential equations. Journal of Engineering and Applied Sciences, 14 (22). pp. 8160-8167. ISSN 1816-949X https://medwelljournals.com/abstract/?doi=jeasci.2019.8160.8167 10.36478/jeasci.2019.8160.8167
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method are determined. To validate the new method is suitable for solving stiff ODEs, the stability and convergence properties are discussed. Numerical results indicate that the new method produced better accuracy than the existing methods when sloving the same problems.
format Article
author Mohamad Noor, Nursyazwani
Ibrahim, Zarina Bibi
spellingShingle Mohamad Noor, Nursyazwani
Ibrahim, Zarina Bibi
Development of a-stable block method for the solution of stiff ordinary differential equations
author_facet Mohamad Noor, Nursyazwani
Ibrahim, Zarina Bibi
author_sort Mohamad Noor, Nursyazwani
title Development of a-stable block method for the solution of stiff ordinary differential equations
title_short Development of a-stable block method for the solution of stiff ordinary differential equations
title_full Development of a-stable block method for the solution of stiff ordinary differential equations
title_fullStr Development of a-stable block method for the solution of stiff ordinary differential equations
title_full_unstemmed Development of a-stable block method for the solution of stiff ordinary differential equations
title_sort development of a-stable block method for the solution of stiff ordinary differential equations
publisher Medwell Publications
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/81149/1/A%20STABLE.pdf
http://psasir.upm.edu.my/id/eprint/81149/
https://medwelljournals.com/abstract/?doi=jeasci.2019.8160.8167
_version_ 1677783010411282432
score 13.18916

Similar Items