Improvement of numerical solution of boundary layer problems by incorpotation of asymptotic approximations

DOI10.1007/BF01407865zbMath0489.65054OpenAlexW2085466143MaRDI QIDQ1166904

Marius Ungarish, Moshe Israeli

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132799

zbMATH Keywords

numerical experimentsfinite differencessingular perturbation problemsasymptotic approximationsboundary layer problemsuniform error estimates

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (15)

“Booster method” for singularly perturbed robin problems i ⋮ Hybrid spectral element/asymptotic method for boundary layers problems ⋮ Computational methods for reaction--diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative. ⋮ A Galerkin method with smoothing ⋮ Improvement of numerical solution of boundary layer problems by incorpotation of asymptotic approximations ⋮ Booster method for singularly-perturbed one-dimensional reaction-diffusion Neumann problems ⋮ A boundary-perturbation finite element method for plane elasticity problems ⋮ “booster method” for singularly perturbed robin problems-II ⋮ Booster method for singularly-perturbed one-dimensional convection-diffusion Neumann problems ⋮ An asymptotic finite element method for improvement of solutions of boundary layer problems ⋮ A ``booster method for singular perturbation problems arising in chemical reactor theory ⋮ Improvement of numerical solution of self-adjoint singular perturbation problems by incorporation of asymptotic approximations ⋮ Asymptotic and finite element approximations for heat transfer in rotating compressible flow over an infinite porous disk ⋮ A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations ⋮ Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type

Cites Work

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• Improvement of numerical solution of boundary layer problems by incorpotation of asymptotic approximations
• Difference approximations for singular perturbations of systems of ordinary differential equations
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• Upwinding of high order Galerkin methods in conduction−convection problems
• The Numerical Solution of Boundary Value Problems for Stiff Differential Equations
• Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems
• THE NUMERICAL SOLUTION OF SINGULAR-PERTURABATION BOUNDARY-VALUE PROBLEMS
• On a Differential Equation of Boundary Layer Type
• The Numerical Solution of Singular Perturbations of Boundary Value Problems

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