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Block hybrid collocation method with application to fourth order differential equations


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
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
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