International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 11 (November 2018), Pages: 86-90

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 Original Research Paper

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

 Author(s): Jimevwo Godwin Oghonyon *, Solomon Adewale Okunuga, Stella Kanayo Eke, Ogbu Famous Imaga

 Affiliation(s):

 Department of Mathematics, College of Science, Covenant University, P.M.B. 1023, Ota, Ogun State, Nigeria

 https://doi.org/10.21833/ijaas.2018.11.012

 Full Text - PDF          XML

 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. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: FMPBMD, Mathematica pseudocodes, Converging standards, max computed errors, Star local truncation error

 Article History: Received 3 May 2018, Received in revised form 7 September 2018, Accepted 18 September 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.11.012

 Citation:

 Oghonyon JG, Okunuga SA, and Eke SK et al. (2018). Formulating Mathematica pseudocodes of block-Milne's device for accomplishing third-order ODEs. International Journal of Advanced and Applied Sciences, 5(11): 86-90

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I11/Oghonyon.html

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