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  1. 1 Acta Physica Polonica A

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  1. 1 2008

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  1. 1 Wojnar R.

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Subdiffusion with External Time Modulation

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Wojnar R.
Acta Physica Polonica A
|
2008
|
vol. 114
|
issue 3
607-611
EN
A subdiffusion process, similar to a Zeldovich-Kompaneets heat conduction process, is defined by a nonlinear diffusion equation in which the diffusion coefficient takes the form D=a(t)f^n, where a=a(t) is an external time modulation, n is a positive constant, and f=f(x, t) is a solution to the nonlinear diffusive equation. It is shown that a Zeldovich-Kompaneets solution satisfies the subdiffusion equation if a=a(t) is replaced by the mean value of a. Also, a solution to the subdiffusion equation is constructed that may be useful in description of biological, social, and financial processes.
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