Oghonyon, J. G. and Odekunle, Matthew Remilekun and Egharevba, M. E. and Abodunrin, T.J (2022) A Variable Step Reduction Block Solver for Stiff ODEs. WSEAS TRANSACTIONS on MATHEMATICS, 21. pp. 347-355. ISSN 2224-2880
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Abstract
This research study is aimed at developing variable step reduction block solver (VSRBS) for stiff ODEs. This step reduction block solver will embrace the technic of variable step-variable order to determine suited variable step size. The trigonometrically fitted method will represent the basis function approximation to be utilized together with the method of interpolation and collocation to derive (VSRBS). VSRBS comes with advantages to overcome the barrier of stability requirement pose by definition 4. Some selected modelled examples of stiff ODEs will solved and compared with existing methods to establish the efficiency and accuracy.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Trigonometrically Fitted Method; Stiff Odes; Variable Step Reduction; Block Solver; Tolerance Level. |
| Subjects: | H Social Sciences > HM Sociology Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics Faculty of Engineering, Science and Mathematics > School of Physics |
| Depositing User: | Mrs Patricia Nwokealisi |
| Date Deposited: | 21 Jun 2022 10:30 |
| Last Modified: | 12 Jul 2022 12:23 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/15999 |
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