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Skew linear interpolation characteristic difference method for nonlinear convection-dominated diffusion equation

HUANG Su-zhen1,ZHANG Lu-ming2 (1.Dept.Basic Sci.,Yancheng Institute of Technology,Yancheng 224003,Jiangsu,China;2.Dept.Math.,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,Jiangsu,China)  
Aim It is aimed at finding out a simple and stable numerical method for nonlinear vonvection-dominated diffusion equation.Methods The characteristic method is combined with the finite-difference method and with the skew linear interpolation method.Results Skew linear interpolation characteristic-difference scheme is constructed.Conclusion The advantage of this scheme is very adaptable to obtain the solution of the equation with variable and can eliminate the numerical oscillations more efficiently.
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