A class of singularly perturbed quasilinear differential equations with interior layers

DOI10.1090/S0025-5718-08-02157-1zbMath1198.65125MaRDI QIDQ3055086

G. I. Shishkin, Eugene O'Riordan, Paul A. Farrell

Publication date: 7 November 2010

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

zbMATH Keywords

uniform convergencequasilinearinterior layerlayer adapted mesh

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems ⋮ A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers ⋮ Numerical treatment of a quasilinear initial value problem with boundary layer ⋮ An efficient numerical technique for two-parameter singularly perturbed problems having discontinuity in convection coefficient and source term ⋮ Interior Layers in Singularly Perturbed Problems ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ Finite element method on Shishkin mesh for a singularly perturbed problem with an interior layer ⋮ A numerical method for stationary shock problems with monotonic solutions ⋮ Singularly perturbed second order semilinear boundary value problems with interface conditions ⋮ PARAMETER-UNIFORM IMPROVED HYBRID NUMERICAL SCHEME FOR SINGULARLY PERTURBED PROBLEMS WITH INTERIOR LAYERS

Cites Work

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• An introduction to nonlinear boundary value problems
• Nonlinear singular perturbation phenomena: theory and applications
• Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convec\-tion coefficient
• A priori meshes for singularly perturbed quasilinear two-point boundary value problems
• Parameter–uniform Fitted Mesh Method for Quasilinear Differential Equations with Boundary Layers
• On the non-existence of 𝜀-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems
• Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
• A Uniformly Convergent Finite Difference Scheme for a Singularly Perturbed Semilinear Equation
• A class of singularly perturbed semilinear differential equations with interior layers
• Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem.

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