Alabi, M. O and Raji, M. T. and Olaleye, M. S. (2024) Off Grid Collocation Four Step Initial Value Solver for Second Order Ordinary Differential Equations. International Journal of Mathematics and Statistics Studies, 12 (4). pp. 1-15. ISSN 2053-2229 (Print), 2053-2210 (Online)
![[thumbnail of Off Grid Collocation.pdf]](https://tudr.org/style/images/fileicons/text.png)
Text
Off Grid Collocation.pdf - Published Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.
Download (712kB)
Abstract
The derivation and application of a four step Block Linear Multistep Method is hereby presented. To achieve this, Chebyshev polynomial was employed as basis function. Chebyshev polynomial was adopted as basis function based on its level of accuracy among other monomials in the interval [-1, 1]. Block method was adopted in this presentation based on its accuracy over the popular Predictor – Corrector method. The method under consideration gives solution at each grid point within the interval of integration. The method was arrived at by interpolating the polynomial equation and collocating the differential equation at some selected points. The order and error constant of the method were investigated likewise the consistency and zero stability which is one of the desirability property of linear multistep method were equally investigated. The method was applied to solve some second order ordinary differential equations and compare its level of accuracy with the analytical solution and equally compare its level of accuracy with some other existing methods.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Depositing User: | Professor Mark T. Owen |
| Date Deposited: | 29 May 2024 11:07 |
| Last Modified: | 29 May 2024 11:07 |
| URI: | https://tudr.org/id/eprint/3042 |
Actions (login required)
- View Item
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)