What question did this study set out to answer?

The aim is to develop a second-order numerical method for third-order neutral Volterra integro-differential equations.

March 12, 2026Boundary Value ProblemsOpen Access

A second-order numerical method to the third order neutral Volterra integro-differential equations

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A numerical method solves third-order equations, indicating high accuracy and stability for complex problems.

The aim is to develop a second-order numerical method for third-order neutral Volterra integro-differential equations.
Proposed a second-order numerical method using finite difference approximations for differential terms.
Employed a quadrature rule for the integral component.
Constructed the method on a uniform mesh.
Conducted stability and convergence analyses under specific assumptions.
Achieved second-order accuracy for the proposed method.
Demonstrated effectiveness and accuracy through numerical experiments.
Confirmed theoretical order of convergence.

Amirali et al. (2026) studied this question.

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