Efficient computational models for pattern formation in fixed and evolving domains
We efficiently model spatial patterns formed by nonlinear reaction-diffusion equations for benchmark reaction kinetics. Computational methods for modeling reaction-diffusion equations have been presented extensively in literature. Efficiency in these computational methods, either higher convergence or reduced computation time, is desired. We use a moving finite element method presented in literature and adapt it to include a second order convergence discretization and linearization. An algorithm is presented that utilizes these higher convergence methods. Numerical results demonstrate the order ...
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