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

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Published: May 12, 2022
DOI: https://doi.org/10.58205/jiamcs.v2i1.10
Keywords:
High-order neutral delay linear Volterra integro-differential equation, Collocation method, Taylor polynomials, Convergence analysis

Main Article Content

Hafida Laib
University Center Abdelhafd Boussouf
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. et al. 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. DOI:https://doi.org/10.58205/jiamcs.v2i1.10.
ARK
https://n2t.net/ark:/49935/jiamcs.v2i1.10
Issue
Vol. 2 No. 1 (2022): January-June
Section
Research Articles
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