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Numerical treatments of system of fredholm integral eguation
Dissertant
University
University of Technology
Faculty
-
Department
Applied Sciences Department
University Country
Iraq
Degree
Master
Degree Date
2006
English Abstract
The main aim of this thesis is lo study and modify some approximate and numerical method to treat linear system of Fredholm integral equations.
For the approximate method for solving linear system of Fredholm integral equations including Neumann Series method have been modified to be applicable for solving this system.
Also, the existence and uniqueness theorem for the Fredholm integral equation has been generalized to system of Fredholm integral equations.
Moreover, five different types of Nystrom or quadrature methods Trapezoidal.
Simpson's 1 / 3.
Simpson's 3 / 8.
Bolo's and Weddell's have been modified and successfully employed to give numerical solution for this system.
Also, the convenience theorem of the Nystrom methods and the error anises me sinful Fredholm integral equation has been generalized to linear system of Fredholm integral equations.
This thesis presents five algorithms based on extrapolation method including: Trapezoidal extrapolation.
Simpson's 13 extrapolation.
Simpson's 3 : H extrapolation.
Bolo's extrapolation and Venue is extrapolation to get more accurate results.
Finally, at the end of each methods.
Algorithms and programs developed and written in MATHLAB (version 6.5).
Main Subjects
American Psychological Association (APA)
Ibrahim, Ghadah Hasan. (2006). Numerical treatments of system of fredholm integral eguation. (Master's theses Theses and Dissertations Master). University of Technology, Iraq
https://search.emarefa.net/detail/BIM-305811
Modern Language Association (MLA)
Ibrahim, Ghadah Hasan. Numerical treatments of system of fredholm integral eguation. (Master's theses Theses and Dissertations Master). University of Technology. (2006).
https://search.emarefa.net/detail/BIM-305811
American Medical Association (AMA)
Ibrahim, Ghadah Hasan. (2006). Numerical treatments of system of fredholm integral eguation. (Master's theses Theses and Dissertations Master). University of Technology, Iraq
https://search.emarefa.net/detail/BIM-305811
Language
English
Data Type
Arab Theses
Record ID
BIM-305811