NUMERICAL SOLUTION OF QUASILINEAR SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITHOUT TURNING POINTS

NUMERICAL SOLUTION OF QUASILINEAR SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITHOUT TURNING POINTS

In this paper we consider a quasilinear second order ordinary differential equation equation witha small parameter e.Firstly an approximate problem is constructed.Then an iterativeprocedure is developed.Finally we give an algorithm whose accuracy is good for arbitraryε>0.

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Veröffentlicht in:Applied mathematics and mechanics 1989-11, Vol.10 (11), p.1005-1010
1. Verfasser: 林平 苏煜城
Format: Artikel
Sprache:eng
Schlagworte:
approximate
arbitrary
auxiliary
estimates
exponential
iterative
ordinary
perturbation
perturbed
proof
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Beschreibung
Zusammenfassung:In this paper we consider a quasilinear second order ordinary differential equation equation witha small parameter e.Firstly an approximate problem is constructed.Then an iterativeprocedure is developed.Finally we give an algorithm whose accuracy is good for arbitraryε>0.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02014547