*School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, Bondo, Kenya
**Department of Mathematics and Computer science, Catholic University of Eastern Africa, Kisumu, Kenya
***Department of Mathematics, Masinde Muliro University of Science Technology, Kakamega
Mathematics Subject Classification: Primary 35K05; Secondary 35B10, 35R35, 58J35
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.
Thermal Conductivity, Boundary Conditions, Periodic Equations
