The traditional method for solving the heat conduction equation numerically is the Crank Nicolson method.
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The discretised unsteady heat conduction equation becomes
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To get a feel of the integration technique, we refer to the one-dimensional unsteady heat conduction equation.
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Mader and J . Zinn developed numerical solutions for nonlinear heat conduction equations that agreed with experimental data ( 1960 ).
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A governing equation may also take the form of a flux equation such as the diffusion equation or the heat conduction equation.
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I'll try and work it out based on heat conduction equations and specific heat equations when I get home, if no one has .-- talk ) 16 : 13, 20 June 2008 ( UTC)
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As a statistic foundation, it has been found that the convective term in the generalized heat conduction equation based on thermomass theory actually comes from the nonlinear part of the phonon distribution function, thus the derivation can be regarded as a nonlinear solution of the phonon Boltzmann equation, which extends the content of the GK model.
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