An asymptotic-numerical method for a model system with turning points

DOI10.1016/0377-0427(90)90016-SzbMath0704.65058OpenAlexW2061452130MaRDI QIDQ917233

F. A. Howes

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90016-s

zbMATH Keywords

asymptotic behaviorspline approximationturning pointfourth order systemsingularly perturbed nonlinear differential equation of fourth order

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ A review on singularly perturbed differential equations with turning points and interior layers

Cites Work

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• Numerical study of the flow between rotating coaxial discs
• Nonlinear singular perturbation phenomena: theory and applications
• Singular perturbations of nonlinear boundary value problems with turning points
• Applications of the Maximum Principle to Singular Perturbation Problems
• THE NUMERICAL SOLUTION OF SINGULAR-PERTURABATION BOUNDARY-VALUE PROBLEMS
• On a Differential Equation of Boundary Layer Type
• Some Examples of Singular Perturbation Problems with Turning Points
• The Numerical Solution of Singular Perturbations of Boundary Value Problems
• An Example of Ill-Conditioning in the Numerical Solution of Singular Perturbation Problems

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