Journal of innovative applied mathematics and computational sciences
Volume 2, Numéro 1, Pages 53-77
2022-06-30

Taylor Collocation Method For High-order Neutral Delay Volterra Integrodifferential Equations



Authors : Laib Hafida . Bellour Azzeddine . Boulmerka Aissa .

Abstract

In this paper, the Taylor collocation method is applied to numerically solve a kth-order neutral linear Volterra integro-differential equation with constant delay and variable coefficients. We also provide a rigorous analysis to estimate the difference between the exact and approximate solution and their derivatives up to order k − 1. Numerical examples are included to prove the performance of the presented convergent algorithm.

Keywords

High-order neutral delay linear Volterra integro-differential equation, Collocation method, Taylor polynomials, Convergence analysis.

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