Parameter Optimization to match a PDE solution to experimental results
- To: mathgroup at smc.vnet.net
- Subject: [mg120956] Parameter Optimization to match a PDE solution to experimental results
- From: "Alexandre Santos Abreu" <alexandre.abreu at physik.uni-augsburg.de>
- Date: Fri, 19 Aug 2011 06:32:43 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
Hello! I am new to Mathematica and want to know if my problem can be solved using it. I have a modified diffusion equation: dc/dt == D d^2c/dx^2 - rc exp(-n t) D: diffusion coefficient r: reaction rate c: concentration n: time constant What i need to do is finding the right parameter combination (D, r, n) in such a manner that the solution of the PDE corresponds to my experimental results. I already achieved numerical solving of the differential equation but i don't know if it is possible to use some fitting routine for the parameter optimization. I hope i described my problem clearly. Thanks for your help! Alex -- Universit=E4t Augsburg Institut f=FCr Physik Lehrstuhl f=FCr Experimentalphysik II Universit=E4tsstr. 1 86159 Augsburg Tel.: 0821 598 3453 Fax: 0821 598 3411 e-mail: alexandre.abreu at physik.uni-augsburg.de
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