Browsing by Author "Muritala H. Sulaiman"

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    Numerical Solution of Generalized Delay Integro-Differential Equations via Galerkin-Vieta-Lucas Polynomials
    (Department of Mathematics, Modibbo Adama University, 2024-05) Kazeem Issa; Muritala H. Sulaiman; Esther O. Olabamidele; Ayinde M. Abdullahib
    In this article, the Galerkin-Vieta-Lucas scheme is presented to find an approximate solution to the generalised delay integro-differential equation using the Vieta-Lucas polynomial as an approximation. The Galerkin approach transforms the delay integro-differential equation into a set of n × (n + m) algebraic equations, which, together with the attached conditions, give (n + m) × (n + m) equations. The effectiveness and accuracy of the proposed technique were tested on some existing examples in the literature, and obviously, the results obtained justify the accuracy of the proposed scheme.