What question did this study set out to answer?

The aim is to develop efficient numerical approaches for second-order delay differential equations with discontinuities and integral boundary conditions.

February 23, 2026Journal of Nonlinear Mathematical PhysicsOpen Access

Efficient Numerical Approaches for Solving Singularly Perturbed Delay Differential Equations with Discontinuities and Integral Boundary Constraints

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The aim is to develop efficient numerical approaches for second-order delay differential equations with discontinuities and integral boundary conditions.
Applied a finite difference method on a segmented Shishkin mesh.
Investigated the behavior of solutions over the interval [0, 2].
Analyzed the effect of a small perturbation parameter on the leading coefficient.
Demonstrated first-order uniform convergence of the numerical scheme concerning the perturbation parameter.
Identified boundary layers at x = 0 and x = 2, with potential interior layers based on the discontinuity location.

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Implication

This research addresses solving singularly perturbed delay differential equations with boundary layers and discontinuities, implying advancements in numerical methods.

Cite This Study

Elango et al. (2026) studied this question.

synapsesocial.com/papers/699bee551c6c6bad5397ff5a https://doi.org/10.1007/s44198-026-00388-8

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Implication

This research addresses solving singularly perturbed delay differential equations with boundary layers and discontinuities, implying advancements in numerical methods.

Efficient Numerical Approaches for Solving Singularly Perturbed Delay Differential Equations with Discontinuities and Integral Boundary Constraints

Key Points

Discussion

Implication

Cite This Study

Efficient Numerical Approaches for Solving Singularly Perturbed Delay Differential Equations with Discontinuities and Integral Boundary Constraints

Key Points

Discussion

Implication

Cite This Study

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