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numerical calculations

Mathematical Modelling of Natural Phenomena (1)

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Application of Fractional Differential Equations in Modelling the Subdiffusion–Reaction Process
T. Kosztołowicz, K. D. Lewandowska
Journal:

Mathematical Modelling of Natural Phenomena / Volume 8 / Issue 2 / 2013

Published online by Cambridge University Press:

24 April 2013, pp. 44-54

Print publication:

2013
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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.