Variable Mesh Finite Difference Method for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems

DOI10.4208/jcm.1003-m2809zbMath1240.65224OpenAlexW4292157029MaRDI QIDQ3110361

Devendra Kumar, Mohan K. Kadalbajoo

Publication date: 27 January 2012

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.1003-m2809

zbMATH Keywords

singular perturbationfinite difference methodnumerical examplestwo-point boundary value problemsvariable meshboundary layer regionparameter uniform-convergence

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) 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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems ⋮ Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems ⋮ Unnamed Item ⋮ A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions

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