Variable step size initial value algorithm for singular perturbation problems using locally exact integration

DOI10.1016/j.amc.2007.11.034zbMath1143.65062OpenAlexW2095566520MaRDI QIDQ929452

Elsie Sterbin Gottlieb

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.034

zbMATH Keywords

singular perturbationnumerical examplesinitial value problemsboundary layertwo-point boundary value problemsnon-uniform mesh

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

A PIECEWISE APPROXIMATE ANALYTICAL SOLUTION FOR NONLINEAR TRANSIENT CIRCUITS USING ADAPTIVE STEP SIZE L-STABLE INTEGRATION SCHEME ⋮ AN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMS ⋮ Coupling of high order multiplication perturbation method and reduction method for variable coefficient singular perturbation problems ⋮ A fifth order accurate geometric mesh finite difference method for general nonlinear two point boundary value problems ⋮ A nonparametric variable step-size NLMS algorithm for transversal filters

Cites Work

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• Singular perturbation theory. Mathematical and analytical techniques with applications to engineering. With a foreword by Alan Jeffrey
• New initial-value method for singularly perturbed boundary-value problems
• Perturbation methods in applied mathematics
• A boundary value technique for singular perturbation problems
• An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations.
• Numerical patching method for singularly perturbed two-point boundary value problems using cubic splines.
• Initial-value methods for second-order singularly perturbed boundary- value problems
• Perturbation methods and non-linear hyperbolic waves

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