Numerical Solution of Generalized Delay Integro-Differential Equations via Galerkin-Vieta-Lucas Polynomials
DOI:
https://doi.org/10.62054/ijdm/0102.02Ключевые слова:
Delay Integro-Differential equations; Galerkin method; Shifted Vieta-Lucas polynomialsАннотация
In this article, the Galerkin-Vieta-Lucas scheme is presented to find an approximatesolution 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.
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