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Solving Reaction-Diffusion Equations 10 Times Faster Export

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numerical-analysis pde

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The most popular numerical method for solving systems of reaction-diffusion equations continues to be a low order finite-difference scheme coupled with low order Euler time stepping. This paper extends previous 1D work and reports experiments that show that with high-order methods one can speed up such simulations for 2D and 3D problems by factors of 10-100. A short Matlab code (2/3D) that can serve as a template is included.


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