Uniform difference method for parameterized singularly perturbed delay differential equations

DOI10.1007/s11075-009-9295-yzbMath1206.65192OpenAlexW2086852852MaRDI QIDQ1047167

I. G. Amiraliyeva, Gabil M. Amiraliyev

Publication date: 4 January 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9295-y

zbMATH Keywords

singular perturbationerror estimatesuniform convergencenumerical experimentsinitial value problemdelay differential equationquasilinear first orderpiecewise-uniform meshparameterized problemuniform difference method

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (13)

Layer-adapted methods for quasilinear singularly perturbed delay differential problems ⋮ Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid ⋮ A second order uniformly convergent numerical scheme for parameterized singularly perturbed delay differential problems ⋮ Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay ⋮ Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers ⋮ Method of exact difference schemes for the numerical solution of parameterized singularly perturbed problem ⋮ Numerical analysis of singularly perturbed delay differential turning point problem ⋮ A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations ⋮ Uniformly convergent second order numerical method for a class of parameterized singular perturbation problems ⋮ A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition ⋮ Numerical solution of singularly perturbed delay differential equations with layer behavior ⋮ Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems ⋮ A fitted second-order difference method for a parameterized problem with integral boundary condition exhibiting initial layer

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