Abstract
A new algorithm for calculating the dynamics of spatially-extended reaction-diffusion systems where the current state depends on the whole or partial previous evolution of the system is proposed. The algorithm is based on a finite difference method and involves an adaptive optimization of data storage by storing in a computer memory not all previous nodal data, but only some selected of them, called the base states. The intermediate states are restored by interpolation between the base states. The use of this technique allows the numerical calculations to be implemented on computer systems without large RAM memory. The algorithm efficiency is shown in three numerical examples.
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Bratsun, D., Zakharov, A. (2014). Adaptive Numerical Simulations of Reaction-Diffusion Systems with Time-Delayed Feedback. In: Sanayei, A., Zelinka, I., Rössler, O. (eds) ISCS 2013: Interdisciplinary Symposium on Complex Systems. Emergence, Complexity and Computation, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45438-7_19
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DOI: https://doi.org/10.1007/978-3-642-45438-7_19
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