Modified differential transform method for strongly nonlinear oscillators
Other Title(s)
الطريقة التفاضلية التحويلية المعدلة للأنظمة الاهتزازية اللاخطية
Dissertant
Thesis advisor
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2008
English Abstract
In this thesis, we propose reliable algorithm for the solution of strongly nonlinear oscillators.
Our algorithm is based upon the differential transform method (DTM), Laplace transform, and Pade approximation.
This modified differential transform method (MDTM) utilizes an alternative framework to capture the periodic behavior of the solution, which is characteristic of oscillator equations, and to give a good approximation to the true solution in a very large region.
The current results are compared with those derived from the established Runge-Kutta method and it is shown that there is an excellent agreement between the two sets of the results.
This finding confirms that the (MDTM) is powerful and efficient tool for solving strongly non-linear oscillators.
Main Subjects
No. of Pages
35
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter one : introduction.
Chapter two : the modified differential transform method
Chapter three : application of the modified differential transform method to strongly nonlinear oscillators.
Chapter four : applications of the modified differential transform method to fractional oscillators and conclusions.
References.
American Psychological Association (APA)
Abu-Ghurrah, Sana Salih. (2008). Modified differential transform method for strongly nonlinear oscillators. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304824
Modern Language Association (MLA)
Abu-Ghurrah, Sana Salih. Modified differential transform method for strongly nonlinear oscillators. (Master's theses Theses and Dissertations Master). Mutah University. (2008).
https://search.emarefa.net/detail/BIM-304824
American Medical Association (AMA)
Abu-Ghurrah, Sana Salih. (2008). Modified differential transform method for strongly nonlinear oscillators. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304824
Language
English
Data Type
Arab Theses
Record ID
BIM-304824
