Modeling Subdiffusion Using Reaction Diffusion Systems
نویسندگان
چکیده
منابع مشابه
Mathematical Modelling of Subdiffusion-reaction Systems
A review of recent developments in the theoretical description and mathematical modelling of subdiffusion-reaction systems is presented. A number of subdiffusion-reaction models are discussed, including models of subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators. Specific features of the instability development and pattern formation are discussed. So...
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Subdiffusion in a system in which mobile particles A can chemically react with static particles B according to the rule A+B→B is considered within a persistent random-walk model. This model, which assumes a correlation between successive steps of particles, provides hyperbolic Cattaneo normal diffusion or fractional subdiffusion equations. Starting with the difference equation, which describes ...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2009
ISSN: 0036-1399,1095-712X
DOI: 10.1137/070681648