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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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Medwell Publishing
2018
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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 |
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. |
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