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INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 2, Issue 2, June 2013

Pages: 213-218

Date of Publication: 06-Jan-2013


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DERIVATION AND SOLUTION OF THE HEAT EQUATION IN 1-D

Author: Boniface O. Kwach? Omolo_Ongati David O. Alambo?? Colleta A. Okaka???

Category: Engineering, Science and Mathematics

Abstract:

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.

Keywords: Thermal Conductivity, Boundary Conditions, Periodic Equations