A local radial basis function method for advection–diffusion–reaction equations on complexly shaped domains
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摘要
Time-dependent advection–diffusion–reaction and diffusion–reaction equations are used as models in biology, chemistry, physics, and engineering. As representative examples, we focus on a chemotaxis model and a Turing system from biology and apply a local radial basis function method to numerically approximate the solutions. The numerical method can efficiently approximate large scale problems in complexly shaped domains.
论文关键词：Numerical partial differential equations,Advection–diffusion–reaction equations,Diffusion–reaction equations,Chemotaxis,Turing equations,Radial basis functions
论文评审过程：Available online 7 April 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.03.062
