Asymptotic and Numerical Methods for Vector Systems of Singularly-Perturbed Boundary Value Problems

Asymptotic and Numerical Methods for Vector Systems of Singularly-Perturbed Boundary Value Problems

Procedures are developed for constructing asymptotic solutions for certain nonlinear singularly-perturbed vector two-point boundary value, problems having boundary layers at one or both end points. The asymptotic approximations are generated numerically and can either be used as is or to furnish a t...

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Bibliographische Detailangaben
Hauptverfasser: Flaherty,Joseph E, O'Malley,Robert E , Jr
Format: Report
Sprache:eng
Schlagworte:
Approximation(Mathematics)
Asymptotic normality
Boundary value problems
Deformation
Nonlinear analysis
Numerical methods and procedures
PE61102F
Perturbations
Points(Mathematics)
Solutions(General)
Theoretical Mathematics
Vector analysis
WUAFOSR2304A3
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Beschreibung
Zusammenfassung:Procedures are developed for constructing asymptotic solutions for certain nonlinear singularly-perturbed vector two-point boundary value, problems having boundary layers at one or both end points. The asymptotic approximations are generated numerically and can either be used as is or to furnish a two-point boundary value code (e.g. COLSYS) with an initial approximation and a nonuniform computational mesh. The procedures are applied to several examples involving the deformation of nonlinear elastic beams. (Author)