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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability
 Kůs, Pavel
In this contribution, higher-order finite element method is used for the solution of reaction-diffusion equation with Turing instability. Some aspects concerning convergence of the method for this particular problém are discussed. Our numerical tests confirm the convergence of the method, but for some very special choices of parameters, this convergence has very uncommon properties.
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Non-trivial solutions of reaction-diffusion system for activator-inhibitor type
 KOUBA, Pavel
Diploma thesis is about stationary solutions to reaction-diffusion system of the activator-inhibitor type on a one-dimensional domain. Three homogeneous boudary value problems are studied---with pure Neumann boudary conditions, with mixed Neumann-Dirichlet boudary conditions and with Neumann conditions on the boundary where simultaneously an additional homogeneous condition is prescribed in a given point in the interior of the domain. For all three boudary value problems the existence of so-called critical points (diffusion parameters, for which a non-trivial solution exists) is proved.
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