Closed solutions to a differential-difference equation and an associated plate solidification problem

Two distinct and novel formalisms for deriving exact closed solutions of a class of variable-coefficient differential-difference equations arising from a plate solidification problem are introduced. Thereupon, exact closed traveling wave and similarity solutions to the plate solidification problem a...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SpringerPlus Jg. 5; H. 1; S. 1273
Hauptverfasser: Layeni, Olawanle P., Akinola, Adegbola P., Johnson, Jesse V.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 05.08.2016
Springer Nature B.V
Schlagworte:
Humanities and Social Sciences
Mathematics
multidisciplinary
Science
Science (multidisciplinary)
Solidification
Surface temperature
Primary 80A22; Secondary 34A33
Differential-difference equation
Clarkson–Kruskal’s method
Stefan problem
ISSN:2193-1801, 2193-1801
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Two distinct and novel formalisms for deriving exact closed solutions of a class of variable-coefficient differential-difference equations arising from a plate solidification problem are introduced. Thereupon, exact closed traveling wave and similarity solutions to the plate solidification problem are obtained for some special cases of time-varying plate surface temperature.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:2193-1801
2193-1801
DOI:10.1186/s40064-016-2915-9