Taylor collocation method for high-order neutral delay Volterra integro-differential equations

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Hafida Laib
Azzeddine Bellour
https://orcid.org/0000-0002-3644-0804
Aissa Boulmerka
https://orcid.org/0000-0003-4920-1850

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.

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How to Cite
[1]
Laib, H., Bellour, A. and Boulmerka, A. 2022. Taylor collocation method for high-order neutral delay Volterra integro-differential equations. Journal of Innovative Applied Mathematics and Computational Sciences. 2, 1 (May 2022), 53–77.
Section
Research Articles

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