New linear block method for third order ordinary differential equations

The diversity of adopting different step by step approach when developing block methods of the formis quite rigorous. Hence, this study presents an approach called Linear Block Method (LBM) capable of producing directly any k steplength value of block methods for solving third order ordinary differe...

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Bibliographic Details
Main Authors: Adeyeye, Oluwaseun, Omar, Zurni
Format: Article
Language:English
Published: Medwell Publishing 2018
Subjects:
Online Access:http://repo.uum.edu.my/27917/1/JEAS%2013%2013%202018%204913-4916.pdf
http://repo.uum.edu.my/27917/
https://medwelljournals.com/abstract/?doi=jeasci.2018.4913.4916
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Institution: Universiti Utara Malaysia
Language: English
Description
Summary:The diversity of adopting different step by step approach when developing block methods of the formis quite rigorous. Hence, this study presents an approach called Linear Block Method (LBM) capable of producing directly any k steplength value of block methods for solving third order ordinary differential equations. The LBM algorithm is validated by recovering certain existing k-step block methods in literature. Likewise, the computational complexity of the LBM algorithm is presented.