Autor: Olaoluwa, Omole Ezekiel - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A One-step Extended Block Hybrid Formulae for Solving Orbital Problems
Autorzy:: Olaoluwa, Omole Ezekiel
Lukman, Momoh Adelegan
Powiązania:: https://bibliotekanauki.pl/articles/1065135.pdf
Data publikacji:: 2019
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: A-Stable
Extended Block Hybrid Formulae
One-step
Orbital Problems
Zero Stability
Opis:: A One-step Extended Block Hybrid Formulae (OEBHF) for solving Orbital problems is presented. The processes compute the solutions of Orbital Problems in a block by block fashion by some discrete schemes obtained from the associated continuous schemes and its first derivatives which are combined and implemented as a set of block formulae. The analysis of the method was examined, it was found to be zero stable, consistence, convergent and A-stable. The order, error constants and the region of absolute stability was also investigated, MATLAB package was used to plot the region of stability within which the method is stable. Numerical results revealed this method to be efficient and very accurate, and especially suitable for orbital problems.
Źródło:: World Scientific News; 2019, 120, 2; 192-204
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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