Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution

DOI10.1007/s12190-010-0432-5zbMath1291.65229OpenAlexW2040021908MaRDI QIDQ2251735

Srinivasan Natesan, Jugal Mohapatra

Publication date: 15 July 2014

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

Full work available at URL: https://doi.org/10.1007/s12190-010-0432-5

zbMATH Keywords

uniform convergenceupwind schemeadaptive meshsingularly perturbed boundary value problemsRobin BCs

Mathematics Subject Classification ID

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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Cites Work

• Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution
• Numerical solution of a convection diffusion problem with Robin boundary conditions
• Uniform convergence difference schemes for singularly perturbed mixed boundary problems.
• Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
• Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
• Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid
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