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Asian Journal of Scientific Research
  Year: 2018 | Volume: 11 | Issue: 4 | Page No.: 553-559
DOI: 10.3923/ajsr.2018.553.559
 
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Softcode of Multi-Processing Milne’s Device for Estimating First-Order Ordinary Differential Equations

Jimevwo Godwin Oghonyon , Olaide Adetola Adesanya, Hudson. Akewe and Hilary Izuchukwu Okagbue

Abstract:
Background and Objectives: Softcodes is a form of Mathematica language invented for the successful implementation of MPMD. Technical computing is an aspect of computing for the sole purpose of computation leading to better accuracy. This paper considers softcode of multi-processing Milne’s device for estimating first-order Ordinary Differential Equations (ODEs). Materials and Methods: Multi-Processing Milne’s Device (MPMD) is source from Adams collection of predicting-correcting scheme implemented via interpolation and collocation adopting multinomial finite sequence near resolution. This combination is mathematically assembled in MPMD pattern and analyzed to produce the order of the MPMD thereby setting up the chief local truncation errors. Results: The computational results generated were aided with Softcodes in Mathematica data format and setting the bounds of convergency. Conclusion: The calculated results are compared with subsisting methods to enhance the viability and effectiveness of the MPMD over others.
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 RELATED ARTICLES:
  •    A Variable-step-size Block Predictor-corrector Method for Ordinary Differential Equations
  •    Milne’s Implementation on Block Predictor-corrector Methods
How to cite this article:

Jimevwo Godwin Oghonyon, Olaide Adetola Adesanya, Hudson. Akewe and Hilary Izuchukwu Okagbue, 2018. Softcode of Multi-Processing Milne’s Device for Estimating First-Order Ordinary Differential Equations. Asian Journal of Scientific Research, 11: 553-559.

DOI: 10.3923/ajsr.2018.553.559

URL: https://scialert.net/abstract/?doi=ajsr.2018.553.559

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