Variable order block method for solving second order ordinary differential equations

Variable order block method for solving second order ordinary differential equations

This paper proposed 2-point block backward differentiation formulas (BBDF) of order 3, 4, and 5 for direct solution of second order ordinary differential equations. These methods were derived via backward difference interpolation polynomial with two solutions are produced simultaneously at each step...

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Main Authors: Zarina Bibi Ibrahim, Nooraini Zainuddin, Khairil Iskandar Othman, Mohamed Suleiman, Iskandar Shah Mohd Zawawi
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/13900/
http://journalarticle.ukm.my/13900/
http://journalarticle.ukm.my/13900/1/23%20Zarina%20Bibi%20Ibrahim.pdf
id ukm-13900
recordtype eprints
spelling ukm-139002020-01-10T08:53:08Z http://journalarticle.ukm.my/13900/ Variable order block method for solving second order ordinary differential equations Zarina Bibi Ibrahim, Nooraini Zainuddin, Khairil Iskandar Othman, Mohamed Suleiman, Iskandar Shah Mohd Zawawi, This paper proposed 2-point block backward differentiation formulas (BBDF) of order 3, 4, and 5 for direct solution of second order ordinary differential equations. These methods were derived via backward difference interpolation polynomial with two solutions are produced simultaneously at each step. All the three different orders of 2-point BBDF is implemented in variable order scheme. The scheme utilizes the local truncation error, which is generated by the single order of 2-point BBDF method. Numerical results are presented to illustrate the validity of the proposed scheme. Penerbit Universiti Kebangsaan Malaysia 2019-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13900/1/23%20Zarina%20Bibi%20Ibrahim.pdf Zarina Bibi Ibrahim, and Nooraini Zainuddin, and Khairil Iskandar Othman, and Mohamed Suleiman, and Iskandar Shah Mohd Zawawi, (2019) Variable order block method for solving second order ordinary differential equations. Sains Malaysiana, 48 (8). pp. 1761-1769. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil8_2019/KandunganJilid48Bil8_2019.html
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description This paper proposed 2-point block backward differentiation formulas (BBDF) of order 3, 4, and 5 for direct solution of second order ordinary differential equations. These methods were derived via backward difference interpolation polynomial with two solutions are produced simultaneously at each step. All the three different orders of 2-point BBDF is implemented in variable order scheme. The scheme utilizes the local truncation error, which is generated by the single order of 2-point BBDF method. Numerical results are presented to illustrate the validity of the proposed scheme.
format Article
author Zarina Bibi Ibrahim,
Nooraini Zainuddin,
Khairil Iskandar Othman,
Mohamed Suleiman,
Iskandar Shah Mohd Zawawi,
spellingShingle Zarina Bibi Ibrahim,
Nooraini Zainuddin,
Khairil Iskandar Othman,
Mohamed Suleiman,
Iskandar Shah Mohd Zawawi,
Variable order block method for solving second order ordinary differential equations
author_facet Zarina Bibi Ibrahim,
Nooraini Zainuddin,
Khairil Iskandar Othman,
Mohamed Suleiman,
Iskandar Shah Mohd Zawawi,
author_sort Zarina Bibi Ibrahim,
title Variable order block method for solving second order ordinary differential equations
title_short Variable order block method for solving second order ordinary differential equations
title_full Variable order block method for solving second order ordinary differential equations
title_fullStr Variable order block method for solving second order ordinary differential equations
title_full_unstemmed Variable order block method for solving second order ordinary differential equations
title_sort variable order block method for solving second order ordinary differential equations
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/13900/
http://journalarticle.ukm.my/13900/
http://journalarticle.ukm.my/13900/1/23%20Zarina%20Bibi%20Ibrahim.pdf
first_indexed 2023-09-18T20:05:53Z
last_indexed 2023-09-18T20:05:53Z
_version_ 1777407154901221376

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