Browsing by Author "Esther O. Olabamidele"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    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.