期刊
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
卷 8, 期 2, 页码 44-54出版社
EDP SCIENCES S A
DOI: 10.1051/mmnp/20138204
关键词
nonlinear fractional differential equations; numerical calculations; anomalous diffusion
类别
资金
- Polish National Science Centre [N N202 19 56 40 (1956/B/H03/2011/40)]
We focus on a subdiffusion-reaction system in which substances are separated at the initial moment. This system is described by nonlinear differential subdiffusion-reaction equations with a fractional time derivative. These equations are very difficult to solve but there exist methods which allow us to solve them approximately. We discuss how useful such methods are, in particular, the quasistatic approximation method and the perturbation method in analytical solving subdiffusion-reaction equations.
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