Heat Equation and its Application in Homogeneous Dirichelt Boundary Condition
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Date
2018-09-01
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Addis Ababa University
Abstract
In this paper, heat equation is derived using Fourier’s law of heat conduction and conservation of energy. In addition to this two laws Greens and divergence Theorem are used to change or transform line integral in to surface integral and volume integral in to surface integral respectively while deriving heat equation. The solution of heat equation is also investigated using separation of variables by considering homogenous Dirchelt boundary condition. The application of heat equation is also included.
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Keywords
Heat Equation, Application, Homogeneous, Dirichelt Boundary Condition