Numerical Solution of Generalized Delay Integro-Differential Equations via GalerkinVieta-Lucas Polynomials
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Date
2024-05-10
Journal Title
Journal ISSN
Volume Title
Publisher
INTERNATIONAL JOURNAL OF DEVELOPMENT MATHEMATICS
Abstract
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.