• Corpus ID: 119116586

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

  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},
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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