Cover Image

Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly

In this paper, a direct integration implicit variable step size method in the form of Adams Moulton Method is developed for solving directly the second order system of ordinary differential equations (ODEs) using variable step size. The existing multistep method involves the computations of the divi...

Full description

Saved in:
Bibliographic Details
Main Authors: Abdul Majid, Zanariah, Suleiman, Mohamed
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2006
Online Access:http://psasir.upm.edu.my/id/eprint/18015/1/Direct%20integration%20implicit%20variable%20steps%20method%20for%20solving%20higher%20order%20systems%20of%20ordinary%20differential%20equations%20directly.pdf
http://psasir.upm.edu.my/id/eprint/18015/
http://www.ukm.my/jsm/english_journals/vol35num2_2006/vol35num2_06page63-68.html
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.18015
record_format eprints
spelling my.upm.eprints.180152016-01-22T07:35:37Z http://psasir.upm.edu.my/id/eprint/18015/ Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly Abdul Majid, Zanariah Suleiman, Mohamed In this paper, a direct integration implicit variable step size method in the form of Adams Moulton Method is developed for solving directly the second order system of ordinary differential equations (ODEs) using variable step size. The existing multistep method involves the computations of the divided differences and integration coefficients in the code when using the variable step size or variable step size and order. The idea of developing this method is to store all the coefficients involved in the code. Thus, this strategy can avoid the lengthy computation of the coefficients during the implementation of the code as well as to improve the execution time. Numerical results are given to compare the efficiency of the developed method with the 1-point method of variable step size and order code (IPDVSO) in Omar (1999). Penerbit Universiti Kebangsaan Malaysia 2006-12 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/18015/1/Direct%20integration%20implicit%20variable%20steps%20method%20for%20solving%20higher%20order%20systems%20of%20ordinary%20differential%20equations%20directly.pdf Abdul Majid, Zanariah and Suleiman, Mohamed (2006) Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly. Sains Malaysiana, 35 (2). pp. 63-68. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol35num2_2006/vol35num2_06page63-68.html
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 In this paper, a direct integration implicit variable step size method in the form of Adams Moulton Method is developed for solving directly the second order system of ordinary differential equations (ODEs) using variable step size. The existing multistep method involves the computations of the divided differences and integration coefficients in the code when using the variable step size or variable step size and order. The idea of developing this method is to store all the coefficients involved in the code. Thus, this strategy can avoid the lengthy computation of the coefficients during the implementation of the code as well as to improve the execution time. Numerical results are given to compare the efficiency of the developed method with the 1-point method of variable step size and order code (IPDVSO) in Omar (1999).
format Article
author Abdul Majid, Zanariah
Suleiman, Mohamed
spellingShingle Abdul Majid, Zanariah
Suleiman, Mohamed
Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly
author_facet Abdul Majid, Zanariah
Suleiman, Mohamed
author_sort Abdul Majid, Zanariah
title Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly
title_short Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly
title_full Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly
title_fullStr Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly
title_full_unstemmed Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly
title_sort direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2006
url http://psasir.upm.edu.my/id/eprint/18015/1/Direct%20integration%20implicit%20variable%20steps%20method%20for%20solving%20higher%20order%20systems%20of%20ordinary%20differential%20equations%20directly.pdf
http://psasir.upm.edu.my/id/eprint/18015/
http://www.ukm.my/jsm/english_journals/vol35num2_2006/vol35num2_06page63-68.html
_version_ 1643826690452881408
score 13.211869

Similar Items