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. TRANSACTIONS on MATHEMATICS.
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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: | UNSPECIFIED |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | AKINWUMI |
| Date Deposited: | 01 Jun 2023 14:20 |
| Last Modified: | 01 Jun 2023 14:20 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/16969 |
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