Numerical solution of second order ODE directly by two point block backward differentiation formula

Numerical solution of second order ODE directly by two point block backward differentiation formula

Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions...

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Main Authors: Zainuddin, N., Ibrahim, Z.B., Othman, K.I., Suleiman, M., Jamaludin, N.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2015
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984541322&doi=10.1063%2f1.4937080&partnerID=40&md5=c7fe8f541f9e0de5c760a226db63e263
http://eprints.utp.edu.my/30742/
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spelling my.utp.eprints.307422022-03-25T07:16:42Z Numerical solution of second order ODE directly by two point block backward differentiation formula Zainuddin, N. Ibrahim, Z.B. Othman, K.I. Suleiman, M. Jamaludin, N. Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions are produced simultaneously at each step of integration. The method derived is implemented by using fixed step size and the numerical results that follow demonstrate the advantage of the direct method as compared to the reduction method. © 2015 AIP Publishing LLC. American Institute of Physics Inc. 2015 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984541322&doi=10.1063%2f1.4937080&partnerID=40&md5=c7fe8f541f9e0de5c760a226db63e263 Zainuddin, N. and Ibrahim, Z.B. and Othman, K.I. and Suleiman, M. and Jamaludin, N. (2015) Numerical solution of second order ODE directly by two point block backward differentiation formula. In: UNSPECIFIED. http://eprints.utp.edu.my/30742/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
description Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions are produced simultaneously at each step of integration. The method derived is implemented by using fixed step size and the numerical results that follow demonstrate the advantage of the direct method as compared to the reduction method. © 2015 AIP Publishing LLC.
format Conference or Workshop Item
author Zainuddin, N.
Ibrahim, Z.B.
Othman, K.I.
Suleiman, M.
Jamaludin, N.
spellingShingle Zainuddin, N.
Ibrahim, Z.B.
Othman, K.I.
Suleiman, M.
Jamaludin, N.
Numerical solution of second order ODE directly by two point block backward differentiation formula
author_facet Zainuddin, N.
Ibrahim, Z.B.
Othman, K.I.
Suleiman, M.
Jamaludin, N.
author_sort Zainuddin, N.
title Numerical solution of second order ODE directly by two point block backward differentiation formula
title_short Numerical solution of second order ODE directly by two point block backward differentiation formula
title_full Numerical solution of second order ODE directly by two point block backward differentiation formula
title_fullStr Numerical solution of second order ODE directly by two point block backward differentiation formula
title_full_unstemmed Numerical solution of second order ODE directly by two point block backward differentiation formula
title_sort numerical solution of second order ode directly by two point block backward differentiation formula
publisher American Institute of Physics Inc.
publishDate 2015
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984541322&doi=10.1063%2f1.4937080&partnerID=40&md5=c7fe8f541f9e0de5c760a226db63e263
http://eprints.utp.edu.my/30742/
_version_ 1738657150306091008

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