Generalizing the method of Kulish to one-dimensional unsteady heat conducting slabs

aj = values of (0 or 1), j 1, 2 b = slab width, m bj = values of (0 or 1), j 1, 2 C = heat capacity, kJ= kg C F = arbitrary heat source, C=m fmax = forcing function, C=m G = Green’s function g x = initial condition, C k = thermal conductivity, W= m C q00 = dimensional heat flux,W=m s = dummy time variable, s T = temperature, C To = initial temperature, C t = time, s to = dummy time variable, s u = dummy time variable, s wx = weight function x = spatial variable, m xo = dummy spatial variable, m = thermal diffusivity [k= C ], m=s = small increment, s = fixed position, m = density, kg=m

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