On the classification of similarity solutions of a two-dimensional diffusion–advection equation
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摘要
We consider the two-dimensional diffusion–advection equation . We present the classification of Lie symmetries of this equation. For the case k(u) = u2 we give the complete list of similarity solutions. Exact and numerical solutions are obtained.
论文关键词：Diffusion–advection equations,Lie symmetries,Similarity solutions,Exact solutions,Numerical solutions
论文评审过程：Available online 19 October 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.09.043
