Browsing by Author "Ahmed, Bayo Musa"

Now showing 1 - 5 of 5
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    Modelled Simulation of Epidemiological Differential Equations Using New Block Method
    (Published by Library and Publication Committee, University of Ilorin, Nigeria., 2026-04-14) Ahmed, Bayo Musa; Bello, Kareem Akanbi; Oyedepo, Taye
    This study presents the development and application of a New Block Method (NBM) for the numerical simulation of first-order differential equations arising in epidemiological and real-life dynamical systems. The method is formulated using a power series polynomial approach combined with interpolation and collocation techniques to generate a high-order implicit block scheme. The resulting method is applied to three test problems, namely the susceptible-infected-recovered (SIR) model, a mixture (tank) model, and a logistic growth model. These models represent key applications in epidemiology, chemical engineering, and population dynamics, respectively. The performance of the proposed method is evaluated by comparing the computed solutions with exact analytical solutions across selected evaluation points. The results demonstrate that the NBM produces highly accurate approximations that closely match the exact solutions, as also illustrated by the graphical comparisons. The study further confirms that the method is stable, convergent, and efficient for solving nonlinear and linear differential equations. The NBM is shown to be a reliable and effective computational tool for modelling complex dynamical systems.
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    Modified Results in Adaptive Quadrature Method for the Approximations of Integrals
    (Federal University, Lokoja, 2017-11-01) Yisa, Babatunde Morufu; Ahmed, Bayo Musa
    This paper investigates the role of higher order Newton – Cotes closed quadrature formula in the adaptive quadrature method for approximating integrals. Boole’s rule was specifically adopted as a result of its exceptional accuracy, and this was brought to bear in the numerical experiments that followed the derivation of error estimation scheme. The error estimate scheme facilitates the suitability of the method reported in this paper for situations where exact solution is extremely difficult to arrive at.
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    On Subgroups of Non-Commutative Orthogonal Rhotrix Group
    (Published by Al-Hikmah University, Ilorin, Nigeria., 2026-04-14) Ahmed, Bayo Musa; Yisa, Babatunde Morufu; Ayinla, Yeketi A.
    This study investigates the algebraic structure of the noncommutative orthogonal rhotrix group under rhotrix row-column multiplication. The special orthogonal, diagonal orthogonal, and special diagonal orthogonal rhotrix groups are identified as subgroups, and their internal relationships are explicitly characterized through subgroup inclusions and intersections. In particular, it is shown that the orthogonal rhotrix group embeds as a subgroup of the general linear rhotrix group. To the best of our knowledge, this work provides the first systematic subgroup structural analysis of non-commutative orthogonal rhotrix groups. These results clarify the internal organization of orthogonal rhotrix groups and provide a foundational framework for further studies on normal subgroups, quotient structures, and related non-commutative rhotrix construction.
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    ON THE SEMIGROUP RING OF THE RHOTRIX BICYCLIC SEMIGROUP
    (Published by Federal University of Technology, Minna., 2026-04-14) Ahmed, Bayo Musa; Bakare, Gatta N.; Usamot, Idayat F.
    In this paper, we study the algebraic structure of the semigroup ring associated with the rhotrix bicyclic semigroup . Let be a ring and the rhotrix bicyclic semigroup defined on ordered pairs of sequences indexed by a fixed index set. We construct the semigroup ring and investigate some of its structural properties. In particular, we establish that is generally non-commutative and determine a family of idempotent elements arising from idempotents of . The ordering of these idempotents is described componentwise, and this ordering induces a natural hierarchy within the semigroup ring. Furthermore, several classes of subrings of are identified, including subrings generated by subsemigroups, idempotents, and corner subrings determined by idempotent elements. These results reveal how the structural properties of the rhotrix bicyclic semigroup influence the internal structure of its semigroup ring and provide a foundation for further study of ideals and related algebraic properties.
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    Subsemigroup Structure of the Rhotrix Bicyclic Semigroup
    (Published by Library and Publication Committee, University of Ilorin, Nigeria., 2026-04-14) Ahmed, Bayo Musa; Bakare, Gatta N.; Suleiman, Y. M.
    This paper investigates the subsemigroup structure of the rhotrix bicyclic semigroup obtained as a coordinatewise extension of the classical bicyclic semigroup. Order-defined subsemigroups determined by the componenetwise relations 􀝌􀝅􀵒􀝍􀝅,􀝌􀝅􀵑􀝍􀝅 and 􀝌􀝅=􀝍􀝅 are introduced and analyzed. It is shown that the order-decreasing subsemigroup forms a subsemigroup but is neither regular nor inverse, with its regular elements coinciding precisely with the diagonal elements. The order-increasing subsemigroup is established to be anti-isomorphic to the order-decreasing case, while the diagonal subsemigroup is proved to be commutative idempotent semigroup and is isomorphic to a semilattice under componentwise maximum. These results provide structural classification of order-defined subsemigroups of the rhotrix bicyclic semigroup. Keywords:Rhotrix bicyclic semigroup; order-defined subsemigroup; regularity; idempotent structure;