What is it about?
Methods on how to solve nonlinear diffusion equations (Gray-Scott model) are presented. MATLAB simulations are performed. Also iterative Methods like the Adomian decomposition method are shown. The efficiency of numerical schemes for solving the Gray-Scott model are analyzed.
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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
Read the Original
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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