This research introduces a novel nonlinear model that can be used in the modified Friedman method to determine activation energy via linear regression with a trial-and-error approach. Its application in a simulated reaction enhanced precision in activation energy determination and accurately captured the trend in activation energy variation with temperature compared to quadratic regression. The nonlinear model can also predict nonlinearity in compensation effect relationships, aiding in the assessment of pre-exponential factor, rate constant, and conversion function in complex reactions, ensuring more precise results compared to linear model. By incorporating random noise into the simulated reaction’s isoconversional kinetic data, which follows a normal distribution, we observed that both nonlinear and quadratic regressions produce comparable activation energy values. However, the nonlinear compensation effect approach yields more precise results for the pre-exponential factor, rate constant, and conversion function compared to the linear model in the presence of random errors. The novel approach based on the nonlinear model was applied, in conjunction with the linear and quadratic Friedman methods featuring linear compensation effect, to compute the kinetic parameters of a polymer coating on a commercial optical fiber as well as a polyethylene. Gnu Octave/MATLAB codes were also made available for estimating the kinetic parameters of complex reactions exhibiting a single peak in reaction rate curves using the linear, quadratic, and nonlinear Friedman methods, along with the application of linear and nonlinear compensation effects. These codes can be customized by users to estimate the kinetic parameters of their own kinetic data.
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