Numerical treatment of singularly perturbed two point boundary value problems using initial-value method

DOI10.1007/S12190-008-0127-3zbMath1177.65109OpenAlexW2023482430MaRDI QIDQ1032544

J. Blot

Publication date: 26 October 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0127-3

zbMATH Keywords

singular perturbationnumerical examplesquasilinearizationboundary layersinitial-value method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (6)

A boundary shape function iterative method for solving nonlinear singular boundary value problems ⋮ An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers ⋮ An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems ⋮ Quintic B-spline method for solving second order linear and nonlinear singularly perturbed two-point boundary value problems ⋮ Initial-value technique for self-adjoint singular perturbation boundary value problems ⋮ Erratum to the article ``Initial-value technique for self-adjoint singular perturbation boundary value problems

Cites Work

• Unnamed Item
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• A second order monotone upwind scheme
• Initial-value technique for a class of nonlinear singular perturbation problems
• Perturbation methods in applied mathematics
• A boundary value technique for singular perturbation problems
• Initial-value technique for singularly-perturbed turning-point problems exhibiting twin boundary layers
• ``Shooting method for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer.
• The nonlinear singularly perturbed initial boundary value problems of nonlocal reaction diffusion systems
• An efficient numerical method for singular perturbation problems
• Techniques of asymptotic analysis
• Collocation for Singular Perturbation Problems II: Linear First Order Systems Without Turning Points
• Collocation for Singular Perturbation Problems III: Nonlinear Problems without Turning Points
• Collocation for Singular Perturbation Problems I: First Order Systems with Constant Coefficients
• Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems
• A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form
• Numerical Methods for Singular Perturbation Problems
• Collocation with Polynomial and Tension Splines for Singularly-Perturbed Boundary Value Problems
• Singular perturbations and differential inequalities
• An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline

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