What is it about?

Methods on how to solve the Diffusion equations (Gray-Scott model) are presented. MATLAB simulations are performed. Also iterative Methods like the Adomian decomposition method are shown.

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Why is it important?

The solution of nonlinear reaction-diffusion equations can be very cumbersome even with Computational Methods. We are showing a way how to do this as best as possible.

Perspectives

The Gray-Scott model has applications in Computational biology (e.g. Pattern formation). Computational Methods presented in this work can be used for similar Kind of Reaction-Diffusion equations.

Patrick Linker
Universitat Stuttgart

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This page is a summary of: Efficiency of numerical schemes for two dimensional Gray Scott model, AIP Advances, October 2019, American Institute of Physics, DOI: 10.1063/1.5095517.
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