Derivation and solution of the heat equation in 1-D
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Publication Date
2013Author
Kwach, Boniface O.
Ongati, Naftali O.
Alambo, David O.
Okaka, Colleta A.
Type
ArticleMetadata
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Abstract/ Overview
Heat flows in the direction of decreasing temperature, that is, from hot to cool. In this paper we derive the heat equation and consider the flow of heat along a metal rod. The rod allows us to consider the temperature, u(x,t), as one dimensional in x but changing in time, t.