ROBUST NUMERICAL METHOD FOR SINGULARLY PERTURBED TURNING POINT PROBLEMS WITH ROBIN TYPE BOUNDARY CONDITIONS

DOI10.14317/jami.2019.183zbMath1438.65156OpenAlexW3205248474MaRDI QIDQ5205532

A. Tamilselvan, N. Geetha

Publication date: 12 December 2019

Full work available at URL: http://www.koreascience.or.kr:80/article/JAKO201915561989418.pdf

zbMATH Keywords

finite difference schemeconvection-diffusion problemsRobin boundary conditionsShishkin meshparameter uniform convergencesingularly perturbed turning point problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

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• A review on singularly perturbed differential equations with turning points and interior layers
• Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers
• A class of boundary value problems for third-order differential equation with a turning point
• Initial-value technique for singularly-perturbed turning-point problems exhibiting twin boundary layers
• A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
• Numerical solution of a convection diffusion problem with Robin boundary conditions
• Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
• Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s)
• Variable mesh spline approximation method for solving second order singularly perturbed turning point problems with Robin boundary conditions
• Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution
• A singularly perturbed convection diffusion turning point problem with an interior layer
• Parameter uniform numerical method for third order singularly perturbed turning point problems exhibiting boundary layers
• Fitted Numerical Methods For Singular Perturbation Problems
• HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID
• A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
• Sufficient Conditions for the Uniform Convergence of a Difference Scheme for a Singularly Perturbed Turning Point Problem
• A Priori Estimates for Solutions of Singular Perturbations with a Turning Point
• A singular perturbation problem with a turning point