Derivation and solution of the heat equation in 1-D

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

O., K (2024). Derivation and solution of the heat equation in 1-D. Afribary. Retrieved from https://afribary.com/works/derivation-and-solution-of-the-heat-equation-in-1-d

MLA 8th

O., Kwach "Derivation and solution of the heat equation in 1-D" Afribary. Afribary, 04 Jun. 2024, https://afribary.com/works/derivation-and-solution-of-the-heat-equation-in-1-d. Accessed 22 Dec. 2024.

MLA7

O., Kwach . "Derivation and solution of the heat equation in 1-D". Afribary, Afribary, 04 Jun. 2024. Web. 22 Dec. 2024. < https://afribary.com/works/derivation-and-solution-of-the-heat-equation-in-1-d >.

Chicago

O., Kwach . "Derivation and solution of the heat equation in 1-D" Afribary (2024). Accessed December 22, 2024. https://afribary.com/works/derivation-and-solution-of-the-heat-equation-in-1-d