Derivation and solution of the heat equation in 1-D
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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.
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APA
(2026). Derivation and solution of the heat equation in 1-D. Afribary. Retrieved June 14, 2026, from http://library.afribary.com/works/derivation-and-solution-of-the-heat-equation-in-1-d
MLA
"Derivation and solution of the heat equation in 1-D." Afribary, 7 Jun. 2026, http://library.afribary.com/works/derivation-and-solution-of-the-heat-equation-in-1-d. Accessed June 14, 2026.
Chicago
"Derivation and solution of the heat equation in 1-D." Afribary (2026). Accessed June 14, 2026. http://library.afribary.com/works/derivation-and-solution-of-the-heat-equation-in-1-d