Integration factor combined with level set method for reaction-diffusion systems with free boundary in high spatial dimensions

  title={Integration factor combined with level set method for reaction-diffusion systems with free boundary in high spatial dimensions},
  author={Shuang Liu and Xinfeng Liu},
For reaction-diffusion equations in irregular domain with moving boundaries, the numerical stability constraints from the reaction and diffusion terms often require very restricted time step size, while complex geometries may lead to difficulties in accuracy when discretizing the high-order derivatives on grid points near the boundary. It is very challenging to design numerical methods that can efficiently and accurately handle both difficulties. Applying an implicit scheme may be able to remove the… 

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