Numerical solution of second-order nonlinear singularly perturbed boundary-value problems by initial-value methods

DOI10.1007/BF00940184zbMath0790.65075MaRDI QIDQ1321184

Maria Grazia Gasparo, Maria Macconi

Publication date: 27 June 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

singular perturbationsboundary layersdifferential inequalitiesinitial value methodsnonlinear singularly perturbed boundary value problemsquasilinear and semilinear problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

Related Items (7)

A PARALLEL METHOD FOR QUASILINEAR PROBLEMS∗ ⋮ An initial value technique for singularly perturbed convection-diffusion problems with a negative shift ⋮ Unnamed Item ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Asymptotic initial value technique for singularly perturbed convection-diffusion delay problems with boundary and weak interior layers ⋮ Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems ⋮ Parallel initial-value algorithms for singularly perturbed boundary-value problems

Cites Work

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• Perturbation methods in applied mathematics
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• An introduction to nonlinear boundary value problems
• Collocation for Singular Perturbation Problems III: Nonlinear Problems without Turning Points
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
• An Adaptive Shooting Method for Singularly Perturbed Boundary Value Problems
• Numerical Methods for Singular Perturbation Problems
• Boundary-interior layer interactions in nonlinear singular perturbation theory

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