What is it about?
This an attempt to apply the classical integral balance method (known as method of Goodman) and its improved forms (Double Integration method, DIM) to a new area, i.e. to diffusion equations using time-fractional derivative. This is , in fact, the first application to such type of diffusion model. The method is simple, straightforward and applicable for engineering application and physically oriented post-solution analysis.
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Why is it important?
It is simple and physically motivated in contrast to purely mathematical solutions existing in the literature
Perspectives
The method can be applied to other nonlinear and anomalous diffusion models straightforwardly . In fcat, it was already applied, since this publication was pending 2 years as "ahead to print", online with DOI. So far, it got 3 citations
Jordan Hristov
University of Chemical Technology and Metallurgy, Sofia, Bulgaria
Read the Original
This page is a summary of: Double integral-balance method to the fractional subdiffusion equation: Approximate solutions, optimization problems to be resolved and numerical simulations, Journal of Vibration and Control, December 2015, SAGE Publications,
DOI: 10.1177/1077546315622773.
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