School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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Start date: 2024Has files: Yes

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Now showing 1 - 6 of 6
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    Mathematical Modeling of the Spread of False Information within Social Media
    (Ilorin Journal of Science, 2024-10-15) Abdurrahman, Nurat Olamide; Ibrahim, M. O.; Ibrahim, J. O.
    One of the societal pollutions in our environment that requires overhauling intervention is the spread of false information. In this paper, we modelled the spread of rumor in a continuous and dynamic population of five compartments. We considered an incubation period which allows rumormongers to verify the authenticity of information received before spreading. Stability analysis of the rumor-free equilibrium (RFE) and the rumor-present equilibrium (RPE) was carried out. The RPE is a function of the reproduction number R0. In order to annihilate the rumor, the results suggest that we should reduce R0 continuously below 1. The results are numerically validated and discussed.
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    Biomass Valorisation: A Sustainable Approach Towards Carbon Neutrality and Circular Economy
    (Springer Nature Singapore, 2024) Elijah Yanda Shaba; Mary Jumai Jiya; Alheri Andrew; Adamu Makanta Salihu; Emmanuel Mamma; Samuel Kelechi Anyanwu; John Tsado Mathew; Abel Inobeme; Benjamin Nma Yisa; Jonathan Jiya Saba
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    Recycling of Municipal Solid Waste: A Deterministic Approach
    (The Pacific Journal of Science and Technology, 2024-11-10) Abdurrahman, Nurat Olamide; Ibrahim, M. O.
    Effective waste management aims at minimizing garbage's detrimental effects on the environment, public health, and aesthetics, which also attempts to recover valuable resources and support sustainable development. The Next Generation matrix was employed to calculate the reproduction number, the model Equations were solved using the Differential Transformation Method (D.T.M.), and the obtained the result was simulated using the Maple software. The results showed that waste management will be effective if recycling of waste is given the proper attention that it deserved. It also indicated that waste for disposal will be limited and managing waste will become easier.
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    COA-SOWUNMI'S LEMMA AND ITS APPLICATION TO THE STABILITY ANALYSIS OF EQUILIBRIUM STATES OF THE NON-LINEAR AGE-STRUCTURED POPULATION MODEL
    (International Journal of Mathematics and Physical Sciences Research, 0205-04-10) Akinwande, N. I.; Somma, Samuel Abu
    Abstract: In this work, we present a result in the form of a lemma which we name COA-Sowunmi’s Lemma, its proof and application to the stability analysis of the transcendental characteristics equation arising from the perturbation of the steady state of the non-linear age-structured population model of Gurtin and MacCamy [11]. Necessary condition for the asymptotic stability of the equilibrium state of the model is obtained in the form of constrained inequality on the vital parameters of the model. The result obtained is then compared with that of an earlier work by the [4].
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    An Order (K+5) Block Hybrid Backward Differentiation Formula for Solution of Fourth Order Ordinary Differential Equations
    (Çankaya University Journal of Science and Engineering, 2024) Raihanatu Muhammad; Hajara Hussaini; Abdulmalik Oyedeji
    This paper covers the derivation and implementation of the 4-step linear Multistep method of Block Hybrid Backward Differentiation Formula (BHBDF) for solving fourth-order initial value problems in ordinary differential equations. In the derivation of the proposed numerical method, the utilization of collocation and interpolation points was adopted with Legendre polynomials serving as the fundamental basis function. The 4-step BHBDF developed to solve fourth-order IVPs has a higher order of accuracy (p=9). Furthermore, the proposed numerical block methods are employed directly to solve fourth-order ODEs. In comparison to some existing methods examined in the prior studies, the proposed method has a robust implementation strategy and demonstrate a higher level of accuracy.
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    Utilizing the Artificial Neural Network Approach for the Resolution of First-Order Ordinary Differential Equations
    (Malaysian Journal of Science and Advanced Technology, 2024-05-28) Khadeejah James Audu; Marshal Benjamin; Umaru Mohammed; Yusuph Amuda Yahaya
    Ordinary Differential Equations (ODEs) play a crucial role in various scientific and professional domains for modeling dynamic systems and their behaviors. While traditional numerical methods are widely used for approximating ODE solutions, they often face challenges with complex or nonlinear systems, leading to high computational costs. This study aims to address these challenges by proposing an artificial neural network (ANN)- based approach for solving first-order ODEs. Through the introduction of the ANN technique and exploration of its practical applications, we conduct numerical experiments on diverse first-order ODEs to evaluate the convergence rate and computational efficiency of the ANN. Our results from comprehensive numerical tests demonstrate the efficacy of the ANN-generated responses, confirming its reliability and potential for various applications in solving first-order ODEs with improved efficiency and accuracy.