Curve Fitting in Science and Technology

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Abstract
The classical methods of curve fitting using polynomials are not necessarily the best methods in science and technology. In most cases other functions (the inverse linear, exponential and logarithmic functions) lead to a better fit of the original function or data. The best fitting function is the function which has the same asymmetry as the original function or data around the 45[ddot] line with reference to normalized coordinate axes. In the present paper this technique of curve fitting is applied to five different fitting functions. An extensive numerical example is given to illustrate the application of the derived formulas. It can be extended to more complex fitting functions, to the derivation of accurate interpolation and extrapolation formulas, and to the numerical solution of differential and partial differential equations of interest in chemistry, chemical engineering, separation science, and other branches of science and technology.

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