Determination of Legendre–Gauss–Lobatto Pseudo–spectral Method for One–Dimensional Advection–Diffusion Equation

Based on Legendre–Gauss–Lobatto zeros and tensor product formulation, we provide a Legendre pseudo–spectral approach for solving one–dimensional parabolic advection–diffusion equations with constant parameters subject to stated beginning and boundary conditions in this chapter. To estimate the unknown function, we first

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