Please use this identifier to cite or link to this item:
http://repository.aaup.edu/jspui/handle/123456789/2871
Title: | Haar Wavelet Method for Solving Nonlinear Integral Equations رسالة ماجستير |
Authors: | Hamdan, Abdalaziz Jameel Salih$AAUP$Palestinian |
Keywords: | wavelets,haar scaling wavelets,integral equations |
Issue Date: | 2016 |
Publisher: | AAUP |
Abstract: | In this thesis, the solutions of one , two and three-dimensional nonlinear integral equations have been investigated and simulated using Matlab software. Indeed, the method of Haar wavelet is applied to approximate the solution of certain types of nonlinear integral equations. This method transforms the integral equation to a square system of nonlinear algebraic equations with the aid of collocation techiques. The present approach is based on the method introduced by Aziz, S. and Khan (2014) for solving two-dimensional nonlinear Fredholm and Volterra integral equations. Using the special properties of Haar functions, Algorithms for one, two, and threedimensional nonlinear integral equations are formed. Based on these algorithms no intermediate numerical integration is needed, which leads to high accuracy even in the case of a small number of collocation points. v |
Description: | Master of Science in Applied Mathematics |
URI: | http://repository.aaup.edu/jspui/handle/123456789/2871 |
Appears in Collections: | Master Theses and Ph.D. Dissertations |
Files in This Item:
File | Description | Size | Format | |
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عبد العزيز حمدان.pdf | 840.69 kB | Adobe PDF | View/Open |
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