COMPUTING OSCILLATING VIBRATIONS EMPLOYING EXPONENTIALLY FITTED BLOCK MILNE’S DEVICE

Oghonyon, J. G. and Agboola, Olasunmbo O. and Ogunniyi, P.O. and Adesanya, A.O. (2018) COMPUTING OSCILLATING VIBRATIONS EMPLOYING EXPONENTIALLY FITTED BLOCK MILNE’S DEVICE. International Journal of Mechanical Engineering and Technology (IJMET), 9 (8). pp. 1234-1243. ISSN 0976-6359

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Abstract

Background and Objectives: The idea of estimating oscillating vibration problems via multinomial basis function haven been seen by some authors as a convenient approach but not appropriate. This is as result of the behavior of the problem and as such depends largely on the step size and frequency. This research article is geared towards computing oscillating vibrations employing exponentially fitted block Milne’s device (COVEFBMD). Materials and Methods: This is specifically designed using interpolation and collocation via exponentially fitted method as the approximate solution to generate COVEFBMD, thereby finding the tolerance level of the method. Results: Some numerical examples were selected and implemented on Mathematica kernel 9 to show speed, technicality and accuracy. Conclusion: The completed solutions show that COVEFBMD performs better than the existing methods because of its ability to design a worthy step size; decide the tolerance level resulting to maximized errors.

Item Type:	Article
Uncontrolled Keywords:	COVEFBMD, exponentially fitted method, tolerance level, principal local truncation errors.
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Hannah Akinwumi
Date Deposited:	21 Sep 2018 10:54
Last Modified:	21 Sep 2018 10:54
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/11873

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