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One-Dimensional Transient Conduction

A generalization can be made by introducing a weight factor f, such that where is the averaged property and 0 f 1.0. Thus Evaluating the time derivatives by the 2nd order accurate scheme evaluated at t= (t0+ t1)/2 in time, we get The diffusion fluxes in Eq.(3) are approximated by 2 nd term =(1 x 1) (k T x) - (k T x) dt =(1 x 1) (k T x) - (k T x

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