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    Wyświetlanie 1-3 z 3
    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
    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
    Tytuł:
    Evolutionary stable strategies in networked games: the influence of topology
    Autorzy:
    Kasthurirathna, D.
    Piraveenan, M.
    Uddin, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/91531.pdf
    Data publikacji:
    2015
    Wydawca:
    Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
    Tematy:
    evolutionary game theory
    competing strategy
    evolutionary stability
    network topology
    Zero-determinant strategy
    Pavlov strategy
    players population
    topological stability
    cooperator strategy
    ewolucyjna teoria gier
    strategia współzawodnictwa
    stabilność ewolucyjna
    topologia sieci
    strategia Pavlova
    populacja graczy
    stabilność topologiczna
    strategia współpracy
    Opis:
    Evolutionary game theory is used to model the evolution of competing strategies in a population of players. Evolutionary stability of a strategy is a dynamic equilibrium, in which any competing mutated strategy would be wiped out from a population. If a strategy is weak evolutionarily stable, the competing strategy may manage to survive within the network. Understanding the network-related factors that affect the evolutionary stability of a strategy would be critical in making accurate predictions about the behaviour of a strategy in a real-world strategic decision making environment. In this work, we evaluate the effect of network topology on the evolutionary stability of a strategy. We focus on two well-known strategies known as the Zero-determinant strategy and the Pavlov strategy. Zero-determinant strategies have been shown to be evolutionarily unstable in a well-mixed population of players. We identify that the Zero-determinant strategy may survive, and may even dominate in a population of players connected through a non-homogeneous network. We introduce the concept of ‘topological stability’ to denote this phenomenon. We argue that not only the network topology, but also the evolutionary process applied and the initial distribution of strategies are critical in determining the evolutionary stability of strategies. Further, we observe that topological stability could affect other well-known strategies as well, such as the general cooperator strategy and the cooperator strategy. Our observations suggest that the variation of evolutionary stability due to topological stability of strategies may be more prevalent in the social context of strategic evolution, in comparison to the biological context.
    Źródło:
    Journal of Artificial Intelligence and Soft Computing Research; 2015, 5, 2; 83-95
    2083-2567
    2449-6499
    Pojawia się w:
    Journal of Artificial Intelligence and Soft Computing Research
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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