Browsing by Author "Ayinde M. Abdullah"

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    Numerical Solution of Generalized Delay Integro-Differential Equations via GalerkinVieta-Lucas Polynomials
    (INTERNATIONAL JOURNAL OF DEVELOPMENT MATHEMATICS, 2024-05-10) Kazeem Issa a; Muritala H. Sulaiman; Esther O. Olabamidele; Ayinde M. Abdullah
    n 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.