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Article: Least-squares adjustment of mathematical model of heat and mass transfer processes during solidification of binary alloys
- Article from:
- Metallurgical and Materials Transactions
- Article date:
- June 1, 1999
- Author:
CopyrightCopyright Minerals, Metals & Materials Society and ASM International Jun 1999. Provided by ProQuest LLC. (Hide copyright information)
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Classical boundary and initial-boundary value problems in heat and mass transfer are generally formulated in a mathematically unique way. Boundary and initial conditions together with physical properties of the thermodynamic system are treated as exactly known. The influence of different kinds of mathematical model simplifications on the accuracy of solution and reliability of the model are not usually analyzed. The problems become more complicated when inverse ill-posed initial-- boundary problems are considered. The widely used procedure of model validation is based on direct comparison of analytical or numerical solution, unique in a mathematical sense, with measurement results. The main ...