Inverse Diffusion by Operator-Splitting Methods in Excel

by scientific-computing.info

Many physical phenomena, such as fluid flow, heat conduction and semiconductor growth include a diffusion process. The action of the diffusion is a continuous process that has and increasing effect with time and typically manifests itself as a spreading and smoothing of the original distribution. This web page is concered with the inverse solution of a diffusion problems. In particular the recovery of an initial distribution following a diffusion process.


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In this demonstration, an operator-splitting method is used as a means for solving a general inverse diffusion problem. The demonstration uses Microsoft Excel, a spreadsheet . The Excel program can be downloaded from inv_diff.xls . The similar forward diffusion simulation can be donloaded from numerical-methods.com .

The operator-splitting method used in this demonstration is described in the following
research paper

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