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Labs on Chip
book

Labs on Chip

by Eugenio Iannone
September 2018
Intermediate to advanced content levelIntermediate to advanced
1178 pages
48h 30m
English
CRC Press
Content preview from Labs on Chip

Appendix 4: Time-Scale Separation Method

A4.1  DESCRIPTION OF THE TIME-SCALE SEPARATION METHOD

The problem of solving the diffusion equation when a concentration-dependent term appears at the second member is very difficult and it is the subject of a deep mathematical analysis because of the great number of applications.

A very wide and detailed review of analytical and semi-analytical methods designed to face this problem is reported in [1], while an analysis of this problem in the framework of a general analysis of diffusion problems is reported in the classic work [2].

However, a general analytical method of solution to this problem does not exist and a simulation algorithm has to be used [3,4].

Here, we want to introduce an approximate solution ...

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Publisher Resources

ISBN: 9781466560727