Citation
Yap, Lee Ken and Ismail, Fudziah
(2015)
Block hybrid collocation method with application to fourth order differential equations.
Mathematical Problems in Engineering, 2015.
art. no. 561489.
pp. 1-6.
ISSN 1024-123X; ESSN: 1563-5147
Abstract
The block hybrid collocation method with three off-step points is proposed for the direct solution of fourth order ordinary differential equations. The interpolation and collocation techniques are applied on basic polynomial to generate the main and additional methods. These methods are implemented in block form to obtain the approximation at seven points simultaneously. Numerical experiments are conducted to illustrate the efficiency of the method. The method is also applied to solve the fourth order problem from ship dynamics.
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Additional Metadata
Item Type: | Article |
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Divisions: | Faculty of Science Institute for Mathematical Research |
DOI Number: | https://doi.org/10.1155/2015/561489 |
Publisher: | Hindawi |
Keywords: | Block hybrid; Collocation method; Differential equations; Numerical experiments; Ship dynamics |
Depositing User: | Ms. Ainur Aqidah Hamzah |
Date Deposited: | 01 Dec 2021 08:05 |
Last Modified: | 01 Dec 2021 08:05 |
Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi= |
URI: | http://psasir.upm.edu.my/id/eprint/43959 |
Statistic Details: | View Download Statistic |
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