Nonlinear Least-Square Curve Fitting of Power-Exponential Functions: Description and comparison of different fitting methods

• Main Author: Altoumaimi, Rasha Talal
• Format: Others
• Language: English
• Published: Mälardalens högskola, Akademin för utbildning, kultur och kommunikation 2017
• Subjects: Curve fitting; Power exponential functions; Gauss-Newton algorithms; Levenberg Marquardt algorithm; death rate; rocket-triggered lightning return strokes; Natural Sciences; Naturvetenskap; Mathematics; Matematik
• Online Access: http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-38606

This thesis examines how to find the best fit to a series of data points when curve fitting using power-exponential models. We describe the different numerical methods such as the Gauss-Newton and Levenberg-Marquardt methods to compare them for solving non-linear least squares of curve fitting using different power-exponential functions. In addition, we show the results of numerical experiments that illustrate the effectiveness of this approach.Furthermore, we show its application to the practical problems by using different sets of data such as death rates and rocket-triggered lightning return strokes based on the transmission line model.