论文信息 - Generalized Lax-Friedrichs Scheme for Convective-Diffusion Equation

Generalized Lax-Friedrichs Scheme for Convective-Diffusion Equation

A new type of generalized Lax-Friedrichs scheme for the convective-diffusion equation u t + au x = eu xx ( a ∈ R, e > 0) is given and analyzed. For the convection term, the scheme use generalized Lax-Friedrichs scheme. For the diffusion term, it uses implicit central difference scheme. The scheme is discussed by applying modified equation analysis, in order to find the relative phase error, numerical dissipation, numerical viscosity, numerical damping and oscillations.

Yun Wu | Wei Tong

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