| Issue |
Math. Model. Nat. Phenom.
Volume 13, Number 1, 2018
Theory and applications of fractional differentiation
|
|
|---|---|---|
| Article Number | 6 | |
| Number of page(s) | 14 | |
| DOI | https://doi.org/10.1051/mmnp/2017080 | |
| Published online | 06 April 2018 | |
Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model
Department of Chemical Engineering, University of Chemical Technology and Metallurgy,
8 Kliment Ohridsky, blvd.,
Sofia
1756, Bulgaria
* Corresponding author: jordan.hristov@mail.bg
Received:
31
October
2017
Accepted:
7
December
2017
A multiple integration technique of the integral-balance method allowing solving high-order subdiffusion diffusion equations is presented in this article. The new method termed multiple-integral balance method (MIM) is based on multiple integration procedures with respect to the space coordinate. MIM is a generalization of the widely applied Heat-balance integral method of Goodman and the double integration method of Volkov. The method is demonstrated by a solution of the linear subdiffusion model of Mullins for thermal grooving by surface diffusion.
Mathematics Subject Classification: 26A33 / 26A33 / 40C10
Key words: Multiple-integration method / fourth-order subdiffusion diffusion / Mullins equation
© EDP Sciences, 2018
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