A High-order Accuracy Method for Solving Nonlinear Convection Diffusion Equations with Discontinuity
A high-order accuracy compact finite difference method was developed to solve nonlinear steady-state convection diffusion equations with discontinuous coefficients.Three-point fourth-order accurate difference schemes were used for the inner points,and two-point third-order accurate difference schemes were applied to the boundary points and discontinuous point.Numerical example shows that the present new method can reach fourth-order accuracy globally.
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