| Autor: |
Oludare Adedire, Paul C. Mordi |
| Jazyk: |
English<br />Spanish; Castilian<br />Portuguese |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Intermaths, Vol 5, Iss 1 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2675-8318 |
| DOI: |
10.22481/intermaths.v5i1.14889 |
| Popis: |
Problems associated with nonlinearity in predator-prey and chaotic nature embedded in Lorenz system place a significant challenge on numerical methods for their solutions. Some numerical methods may become unstable as step size increases. In this study, a fifth-order A(alpha )-stable (alpha = 89.90 ) k-step block hybrid Adams-Moulton method (BHAMM) was derived incorporating 16/9 as an off-step interpolation point using multistep collocation and matrix inversion technique. Choice of the off-step point of the BHAMM was in the upper part of interval of interpolation points. It was shown that the derived block method was consistent and zero-stable hence a convergent block method. Numerical simulations of predator-prey and Lorenz systems with the newly derived k=3 BHAMM indicated that it was adequate and compared well with Matlab ode23s. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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