title: Closed solutions to a differential-difference equation and an associated plate solidification problem.
abstract: 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.
authors.affiliation: Department of Mathematics, Obafemi Awolowo University, Ile-Ife, 220005 Nigeria.
authors.forename: Olawanle P
authors.initials: OP
authors.lastname: Layeni
authors.affiliation: Department of Mathematics, Obafemi Awolowo University, Ile-Ife, 220005 Nigeria.
authors.forename: Adegbola P
authors.initials: AP
authors.lastname: Akinola
authors.affiliation: Department of Computer Science, University of Montana, Missoula, MT 59812 USA.
authors.forename: Jesse V
authors.initials: JV
authors.lastname: Johnson
keywords: Clarkson–Kruskal’s method; Differential-difference equation; Stefan problem