Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy...
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AIP Publishing LLC
2014
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الوصول للمادة أونلاين: | http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf http://psasir.upm.edu.my/id/eprint/57443/ |
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my.upm.eprints.574432017-09-27T10:47:17Z http://psasir.upm.edu.my/id/eprint/57443/ Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2014) Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations. In: 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 69-75). 10.1063/1.4898447 |
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Universiti Putra Malaysia |
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English |
description |
The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3. |
format |
Conference or Workshop Item |
author |
Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
spellingShingle |
Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
author_facet |
Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
author_sort |
Zainuddin, Nooraini |
title |
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
title_short |
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
title_full |
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
title_fullStr |
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
title_full_unstemmed |
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
title_sort |
diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
publisher |
AIP Publishing LLC |
publishDate |
2014 |
url |
http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf http://psasir.upm.edu.my/id/eprint/57443/ |
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1643836488958345216 |
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13.251813 |