A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations
| Autor: | Victor Oboni Atabo, Solomon Ortwer Adee |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Nigerian Society of Physical Sciences, Vol 3, Iss 4 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2714-2817 2714-4704 |
| DOI: | 10.46481/jnsps.2021.337 |
| Popis: | A new higher-implicit block method for the direct numerical solution of fourth order ordinary differential equation is derived in this research paper. The formulation of the new formula which is 15-step, is achieved through interpolation and collocation techniques. The basic numerical properties of the method such as zero-stability, consistency and A-stability have been examined. Investigation showed that the new method is zero stable, consistent and A-stable, hence convergent. Test examples from recent literature have been used to confirm the accuracy of the new method. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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