Formulating Mathematica pseudocodes of block-Milne's device for accomplishing third-order ODEs

Oghonyon, J. G. and Okunuga, S. A. and Eke, Kanayo Stella and Imaga, O. F. (2018) Formulating Mathematica pseudocodes of block-Milne's device for accomplishing third-order ODEs. International Journal of Advanced and Applied Sciences, 5 (11). pp. 86-90.

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Abstract

Formulating Mathematica pseudocodes for carrying out third-order ordinary differential equations (ODEs) is of essence necessary for proficient computation. This research paper is prepared to formulate Mathematica Pseudocodes block Milne’s device (FMPBMD) for accomplishing third-order ODEs. The coming together of Mathematica pseudocodes and proficient computing using block Milne’s device will bring about ease in ciphering, proficiency, acceleration and better accuracy. Side by side estimation and extrapolation is considered with successive function approximation gives rise to FMPBMD. This FMPBMD turns out to bring about the star local truncation error thereby finding the degree of the scheme. FMPBMD will be implemented on some numerical examples to corroborate the superiority over other block methods established by employing fixed step size and handled computation.

Item Type:	Article
Uncontrolled Keywords:	FMPBMD Mathematica pseudocodes Converging standards Max computed errors Star local truncation error
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:	09 Oct 2018 09:16
Last Modified:	09 Oct 2018 09:16
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/11963

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