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

Olawanle P. Layeni; Adegbola P. Akinola; Jesse V. Johnson

doi:10.1186/s40064-016-2915-9

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

Olawanle P. Layeni
, Adegbola P. Akinola
, Jesse V. Johnson

Computer Science

Obafemi Awolowo University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	1273
Journal	SpringerPlus
Volume	5
Issue number	1
DOIs	https://doi.org/10.1186/s40064-016-2915-9
State	Published - Dec 1 2016

Keywords

Clarkson–Kruskal’s method
Differential-difference equation
Stefan problem

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10.1186/s40064-016-2915-9

Cite this

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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.",

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AU - Layeni, Olawanle P.

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AU - Johnson, Jesse V.

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Y1 - 2016/12/1

N2 - 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.

AB - 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.

KW - Clarkson–Kruskal’s method

KW - Differential-difference equation

KW - Stefan problem

UR - https://www.scopus.com/pages/publications/84981289068

U2 - 10.1186/s40064-016-2915-9

DO - 10.1186/s40064-016-2915-9

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

Abstract

Keywords

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