In general, partial differential equations are much more difficult to solve analytically than are ordinary differential equations. value 0. The Diffusion Equation The diffusionequation is a partial differentialequationwhich describes density uc-tuations in a material undergoing diffusion.

In4 PlotEvaluateTablesol, t, 0, 4, x, -5, 5, PlotRange -> All, Filling -> Axis Out4 Initial value problem for the heat equation with piecewise initial data. Diffusion Equation finding the critical length 2. 3) reduce s to the solving of linear ODE and consideration of three different cases with respect to the sign of 1.
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