A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer

DOI10.2989/16073606.2018.1523811zbMath1486.65077OpenAlexW2901564645WikidataQ128929474 ScholiaQ128929474MaRDI QIDQ5215383

Justin B. Munyakazi, Kailash C. Patidar, Charles K. Mbayi

Publication date: 10 February 2020

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1523811

zbMATH Keywords

finite difference methoduniform convergenceinterior layersingularly perturbed problemsturning point problems

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Cites Work

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• A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method
• A review on singularly perturbed differential equations with turning points and interior layers
• Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers
• High order fitted operator numerical method for self-adjoint singular perturbation problems
• Asymptotic and numerical analysis of singular perturbation problems: A survey
• Singularly perturbed convection--diffusion problems with boundary and weak interior layers.
• A survey of numerical techniques for solving singularly perturbed ordinary differential equations
• Singularly perturbed problems in partial differential equations: A survey
• Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
• High order parameter uniform numerical method for singular perturbation problems
• Limitations of Richardson's extrapolation for a high order fitted mesh method for self-adjoint singularly perturbed problems
• PERFORMANCE OF RICHARDSON EXTRAPOLATION ON SOME NUMERICAL METHODS FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM WHOSE SOLUTION HAS BOUNDARY LAYERS
• Novel fitted operator finite difference methods for singularly perturbed elliptic convection–diffusion problems in two dimensions
• A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
• On a Differential Equation of Boundary Layer Type

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