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

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