Search In this Thesis
   Search In this Thesis  
العنوان
Computing some integrals of Product of wavelets and their derivatives or integrals /
المؤلف
Gomaa, Ayman Mohamed Ali.
هيئة الاعداد
باحث / أيمن محمد علي جمعه
مشرف / صلاح الدين حلمي عبدالله بحيري
مشرف / هانئ عبدالقادر حشيش
مناقش / هانئ عبدالقادر حشيش
الموضوع
Physical Science. Product of Wavelets.
تاريخ النشر
2003.
عدد الصفحات
112 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
01/01/2003
مكان الإجازة
جامعة المنصورة - كلية الهندسة - Mathematical and Physical Science Department
الفهرس
Only 14 pages are availabe for public view

from 134

from 134

Abstract

The main objective of the work is to detect and develop the computational algorithms for the exact evaluation of bounded interval connection coefficients. These connection coefficients are integrals with integrands involving products of wavelet bases and their derivatives or integrals. In this thesis, we detect and develop seven connection coefficients to obtain more accurate results than before. Also, we derive a new set of three connection coefficients. Then, applying these algorithms to solve some applications like second order Fredholm integro­differential equations by wavelet­Galerkin and wavelet­collocation methods in the following three cases: 1.?Linear with separable Kernel function. 2.?Linear with non­separable Kernel function. 3.?Non­linear with separable Kernel function. Key words: Wavelet ­ Connection Coefficient ­ Numerical Methods ­ Galerkin Approach ­ Integro­differential Equations.