Solution of convection–diffusion equation by the method of characteristics
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摘要
We solve a nonlinear convection–diffusion problem by the method of characteristics. The velocity field depends on the unknown solution and is generally not bounded. The convergence of the semi-discrete scheme is proved. Finally, on a one-dimensional numerical experiment computed by the ELLAM method we demonstrate some features of the scheme.
论文关键词：62M25,65M12,35K60,Method of characteristics,Nonlinear convection–diffusion equation,Convergence of numerical methods,Eulerian–Lagrangian methods
论文评审过程：Received 30 September 2002, Revised 6 May 2003, Available online 12 March 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2003.12.003
