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A Highly Approximate Pseudo-Spectral Method for the Solution of Convection-Diffusion Equations

A Highly Approximate Pseudo-Spectral Method for the Solution of Convection-Diffusion Equations

The main purpose of this paper is to compute a highly accurate numerical solution of two dimensional convection--diffusion equations with variable coefficients by using Legendre pseudo-spectral method based on Legendre-Gauss-Lobatto nodes. The Kronecker product is used here to formulate a linear system of differentiation matrices; this system was reduced to …