Positivity and boundedness preserving schemes for space–time fractional predator–prey reaction–diffusion model

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چکیده

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Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model

The semi-implicit schemes for the nonlinear predator-prey reactiondiffusion model with the space-time fractional derivatives are discussed, where the space fractional derivative is discretized by the fractional centered difference and WSGD scheme. The stability and convergence of the semi-implicit schemes are analyzed in the L∞ norm. We theoretically prove that the numerical schemes are stable ...

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ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 2015

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2015.02.024