# Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension

@article{Korkmaz2016MotionOP, title={Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension}, author={Alper Korkmaz and Ozlem Ersoy and Idiris Dağ}, journal={arXiv: Statistical Mechanics}, year={2016} }

Occupation of an interval by self-replicating initial pulses is studied numerically. Two different approximates in different categories are proposed for the numerical solutions of some initial-boundary value problems. The sinc differential quadrature combined with third-fourth order implicit Rosenbrock and exponential B-spline collocation methods are setup to obtain the numerical solutions of the mentioned problems. The numerical simulations containing occupation of single initial pulse, non or…

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