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The use of relative residues in fitting experimental data: an example from fluid mechanics
Authors:J M Ferreira  Liliana Caramelo  R P Chhabra
Institution:1. Universidade de Tras-os-Montes e Alto;2. Indian Institute of Technology
Abstract:A curve fitting model is presented which minimizes the sum of squares of relative residues and expressions for the fit coefficients and their respective errors are derived. The new model is compared to the normal least squares model, using as an example the Reynolds number-drag coefficient data for a sphere. The results show that the best fit was obtained with the new model, indicating it may provide a useful tool for data analysis.
Keywords:differential equations  sustainability  Easter Island  population growth  environmental collapse
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