Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.

Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.

The new method derived is called the fifth order two-point Block Backward Differentiation Formulas (BBDF(5)) method for solving first order stiff Ordinary Differential Equations (ODEs). This method possesses the requirement for stiffly stable and suitable to solve stiff problems. We also discussed...

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Main Authors: Ibrahim, Zarina Bibi, Suleiman, Mohamed, Othman, Khairil Iskandar, Nasir, N. A. A. M.
Format: Article
Language:English
English
Published: Hikari Ltd 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25030/
http://psasir.upm.edu.my/id/eprint/25030/
http://psasir.upm.edu.my/id/eprint/25030/1/Fifth%20order%20two.pdf
id upm-25030
recordtype eprints
spelling upm-250302015-09-23T02:00:07Z http://psasir.upm.edu.my/id/eprint/25030/ Fifth order two-point block backward differentiation formulas for solving ordinary differential equations. Ibrahim, Zarina Bibi Suleiman, Mohamed Othman, Khairil Iskandar Nasir, N. A. A. M. The new method derived is called the fifth order two-point Block Backward Differentiation Formulas (BBDF(5)) method for solving first order stiff Ordinary Differential Equations (ODEs). This method possesses the requirement for stiffly stable and suitable to solve stiff problems. We also discussed further the implementation of the method using Newton Iteration. The numerical results are presented to verify the efficiency of this method as compared to the Classical Backward Differentiation Formula (BDF) method and ode15s in Matlab. The BBDF(5) method outperformed the BDF method and ode15s in terms of maximum error and execution time. Hikari Ltd 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25030/1/Fifth%20order%20two.pdf Ibrahim, Zarina Bibi and Suleiman, Mohamed and Othman, Khairil Iskandar and Nasir, N. A. A. M. (2011) Fifth order two-point block backward differentiation formulas for solving ordinary differential equations. Applied Mathematical Sciences, 5 (71). pp. 3505-3518. ISSN 1312-885X http://www.m-hikari.com/ English
repository_type Digital Repository
institution_category Local University
institution Universiti Putra Malaysia
building UPM Institutional Repository
collection Online Access
language English
English
description The new method derived is called the fifth order two-point Block Backward Differentiation Formulas (BBDF(5)) method for solving first order stiff Ordinary Differential Equations (ODEs). This method possesses the requirement for stiffly stable and suitable to solve stiff problems. We also discussed further the implementation of the method using Newton Iteration. The numerical results are presented to verify the efficiency of this method as compared to the Classical Backward Differentiation Formula (BDF) method and ode15s in Matlab. The BBDF(5) method outperformed the BDF method and ode15s in terms of maximum error and execution time.
format Article
author Ibrahim, Zarina Bibi
Suleiman, Mohamed
Othman, Khairil Iskandar
Nasir, N. A. A. M.
spellingShingle Ibrahim, Zarina Bibi
Suleiman, Mohamed
Othman, Khairil Iskandar
Nasir, N. A. A. M.
Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
author_facet Ibrahim, Zarina Bibi
Suleiman, Mohamed
Othman, Khairil Iskandar
Nasir, N. A. A. M.
author_sort Ibrahim, Zarina Bibi
title Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
title_short Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
title_full Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
title_fullStr Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
title_full_unstemmed Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
title_sort fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
publisher Hikari Ltd
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/25030/
http://psasir.upm.edu.my/id/eprint/25030/
http://psasir.upm.edu.my/id/eprint/25030/1/Fifth%20order%20two.pdf
first_indexed 2018-09-07T14:53:54Z
last_indexed 2018-09-07T14:53:54Z
_version_ 1610960899305111552

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