Raymond, D and Donald, J and Michael, A and Ajileye, G (2018) A Self-Starting Five-Step Eight-Order Block Method for Stiff Ordinary Differential Equations. Journal of Advances in Mathematics and Computer Science, 26 (4). pp. 1-9. ISSN 24569968
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Abstract
This paper examines the implementation of a self-starting five-step eight-order block method with two off-grid for stiff ordinary differential equations using interpolation and collocation procedures. The predictor schemes are then expanded using Taylor’s series expansion. Multiple numerical integrators were produce and arrived at a discrete scheme. The discrete schemes are of uniform order eight and are assembled into a single block matrix equation. These equations are simultaneously applied to provide the approximate solution for stiff initial value problem for ordinary differential equations. The order of accuracy and stability of the block method is discussed and its accuracy is established numerically.
Item Type: | Article |
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Subjects: | Eprint Open STM Press > Mathematical Science |
Depositing User: | Unnamed user with email admin@eprint.openstmpress.com |
Date Deposited: | 08 May 2023 08:04 |
Last Modified: | 02 Jan 2024 13:11 |
URI: | http://library.go4manusub.com/id/eprint/220 |