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An \(\varepsilon\)-uniform hybrid scheme for singularly perturbed delay differential equations. (English) Zbl 1220.65102

The authors consider a singularly perturbed delay differential equation of the first order. They use a hybrid scheme on a Shishkin mesh to solve the problem. Numerical experiments are performed on a test problem in order to confirm the effectiveness of the proposed technique.

MSC:

65L11 Numerical solution of singularly perturbed problems involving ordinary differential equations
65L12 Finite difference and finite volume methods for ordinary differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
34K26 Singular perturbations of functional-differential equations
65L70 Error bounds for numerical methods for ordinary differential equations
65L50 Mesh generation, refinement, and adaptive methods for ordinary differential equations
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References:

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