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Nonlinear Least-Square Curve Fitting of Power-Exponential Functions: Description and comparison of different fitting methods
Mälardalen University, School of Education, Culture and Communication.
2017 (English)Independent thesis Advanced level (degree of Master (Two Years)), 80 credits / 120 HE creditsStudent thesis
Abstract [en]

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.

Place, publisher, year, edition, pages
2017. , p. 75
Keywords [en]
Curve fitting, Power exponential functions, Gauss-Newton algorithms, Levenberg Marquardt algorithm, death rate, rocket-triggered lightning return strokes
National Category
Natural Sciences Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-38606OAI: oai:DiVA.org:mdh-38606DiVA, id: diva2:1182318
Subject / course
Mathematics/Applied Mathematics
Presentation
2017-10-17, Mälaerdalen University, Box 883, 721 23 Västerås, Sweden, 15:00 (English)
Supervisors
Examiners
Available from: 2018-02-13 Created: 2018-02-12 Last updated: 2018-02-13Bibliographically approved

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fulltext(1216 kB)23 downloads
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Altoumaimi, Rasha Talal
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf