Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.

Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.

This paper focused mainly on deriving explicit and implicit 3-point block methods of constant step size using linear difference operator for solving special second order ordinary differential equations (ODEs). The methods compute the solutions of the ODEs at three points simultaneously. Regions of...

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Main Authors: Ismail, Fudziah, Yap, Lee Ken, Othman, Mohamed
Format: Article
Language:English
English
Published: Hikari Ltd 2009
Online Access:http://psasir.upm.edu.my/id/eprint/14652/
http://psasir.upm.edu.my/id/eprint/14652/
http://psasir.upm.edu.my/id/eprint/14652/1/Explicit%20and%20implicit%203.pdf
id upm-14652
recordtype eprints
spelling upm-146522015-09-29T07:48:09Z http://psasir.upm.edu.my/id/eprint/14652/ Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly. Ismail, Fudziah Yap, Lee Ken Othman, Mohamed This paper focused mainly on deriving explicit and implicit 3-point block methods of constant step size using linear difference operator for solving special second order ordinary differential equations (ODEs). The methods compute the solutions of the ODEs at three points simultaneously. Regions of stability for both the explicit and implicit block methods are presented. A standard set of problems are solved using the new methods and the numerical results are compared when the same set of problems are solved using existing methods. The results suggest a significant improvement in efficiency of the new methods in terms of number of steps and accuracy. Hikari Ltd 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/14652/1/Explicit%20and%20implicit%203.pdf Ismail, Fudziah and Yap, Lee Ken and Othman, Mohamed (2009) Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly. International Journal of Mathematical Analysis, 3 (5). pp. 239-254. ISSN 1312-8876; ESSN: 1314-7579 http://www.m-hikari.com/ijma/index.html English
repository_type Digital Repository
institution_category Local University
institution Universiti Putra Malaysia
building UPM Institutional Repository
collection Online Access
language English
English
description This paper focused mainly on deriving explicit and implicit 3-point block methods of constant step size using linear difference operator for solving special second order ordinary differential equations (ODEs). The methods compute the solutions of the ODEs at three points simultaneously. Regions of stability for both the explicit and implicit block methods are presented. A standard set of problems are solved using the new methods and the numerical results are compared when the same set of problems are solved using existing methods. The results suggest a significant improvement in efficiency of the new methods in terms of number of steps and accuracy.
format Article
author Ismail, Fudziah
Yap, Lee Ken
Othman, Mohamed
spellingShingle Ismail, Fudziah
Yap, Lee Ken
Othman, Mohamed
Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
author_facet Ismail, Fudziah
Yap, Lee Ken
Othman, Mohamed
author_sort Ismail, Fudziah
title Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
title_short Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
title_full Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
title_fullStr Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
title_full_unstemmed Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
title_sort explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
publisher Hikari Ltd
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/14652/
http://psasir.upm.edu.my/id/eprint/14652/
http://psasir.upm.edu.my/id/eprint/14652/1/Explicit%20and%20implicit%203.pdf
first_indexed 2018-09-07T13:32:06Z
last_indexed 2018-09-07T13:32:06Z
_version_ 1610955753511714816

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