An asymptotic initial-value method for second order singular perturbation problems of convection-diffusion type with a discontinuous source term

DOI10.1007/BF02831964zbMath1115.65087OpenAlexW2067740883MaRDI QIDQ874333

N. E. Zubov

Publication date: 5 April 2007

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02831964

zbMATH Keywords

error estimatesuniform convergenceconvection-diffusion equationnumerical experimentsfinite difference schemeasymptotic approximationboundary layerShishkin meshtwo-point boundary-value problemssingular perturbation problemdiscontinuous source terminterior layers

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme ⋮ An initial value technique for singularly perturbed convection-diffusion problems with a negative shift ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ Asymptotic approximation to a solution of a singularly perturbed linear-quadratic optimal control problem with second-order linear ordinary differential equation of state variable ⋮ A class of finite difference schemes for singularly perturbed delay differential equations of second order

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