Wavelets and solution of ordinary differential equations

(2005) Wavelets and solution of ordinary differential equations. Masters thesis, King Fahd University of Petroleum and Minerals.

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Arabic Abstract

في هذه الرسالة سوف نستعرض المويجات وتحويليها المتصل والمنفصل. ثم سنعرض التحليل المتعدد (Multiresolution Analysis) باستخدام المويجات. بعد ذلك سوف نناقش عدة طرق لحل المعادلات التفاضلية باستخدام المويجات. وأخيراً سنناقش بعض النتائج التي حصلنا عليها خلال البحث.

English Abstract

In this thesis, we present continuous and discrete wavelet transform. The Multiresolution Analysis (MRA) and compactly supported wavelets are introduced. Different approaches of using wavelets to solve differential equations are presented. Finally, some work that we have done during our research is discussed.

Item Type: Thesis (Masters)
Subjects: Math
Divisions: College Of Sciences > Mathematical Science Dept
Committee Advisor: Akca, Haydar
Committee Members: Zaman, Fiazuddin and Furati, Khaled M. and Messaoudi, Salim and siddiqi, Abul Hasan
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 17:06
Last Modified: 01 Nov 2019 17:02
URI: http://eprints.kfupm.edu.sa/id/eprint/10522