Fourth-order Off-Step Discretization for the System of 2D Non-linear Elliptic PDEs

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  A new fourth-order difference method for solving the system of twodimensional non-linear elliptic PDEs with variable coefficients is proposed.The difference scheme referred to as off-step discretization is applicable directly to the singular problems and problems in polar coordinates.Stability Analysis of the method applied to steady-state Convection-Diffusion equation is discussed.The methods are applied to many physical problems of interest including the steady-state Navier-Stokes equations of motion.
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