- Tytuł:
- A Two-step Hybrid Block Method for the Numerical Integration of Higher Order Initial Value Problems of Ordinary Differential Equations
- Autorzy:
-
Osa, Adoghe Lawrence
Olaoluwa, Omole Ezekiel - Powiązania:
- https://bibliotekanauki.pl/articles/1075837.pdf
- Data publikacji:
- 2019
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Tematy:
-
Block method
Collocation
Fourth order
Higher Order
Hybrid
approximate solutions
power series
symmetry
zero stability - Opis:
- In this paper, a two-step implicit hybrid block multistep method is proposed for the approximate solution of higher order ordinary differential equations with a specification of fourth order. The study provides the use of both collocation and interpolation techniques to obtain the schemes. Direct form of power series is used as basis function for approximation solution. An order eight symmetric and zero-stable method is obtained. To implement our method, predictors of the same order of accuracy as the main method were developed using Taylor’s series algorithm. This implementation strategy is found to be efficient and more accurate as the result has shown in the numerical experiments. The result obtained confirmed the superiority of our method over existing methods.
- Źródło:
-
World Scientific News; 2019, 118; 236-250
2392-2192 - Pojawia się w:
- World Scientific News
- Dostawca treści:
- Biblioteka Nauki
Artykuł