Existence, Uniqueness, and Approximation of Solutions to Some Nonlinear Diffusion Problems

Existence, Uniqueness, and Approximation of Solutions to Some Nonlinear Diffusion Problems

We study the existence and approximation of a nontrivial positive solution for a nonlinear ordinary differential equation of second order. To prove the uniqueness of positive solutions, we use some estimates of the error between exact and approximate solutions. The equation arises in the study of so...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical analysis and applications 1997-06, Vol.210 (1), p.231-240
Hauptverfasser: Nieto, Juan J, Okrasinski, W
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study the existence and approximation of a nontrivial positive solution for a nonlinear ordinary differential equation of second order. To prove the uniqueness of positive solutions, we use some estimates of the error between exact and approximate solutions. The equation arises in the study of some nonlinear diffusion problems.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1997.5394