Numerical solutions of hypersingular integrals and integral equations of the first kind

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Numerical solutions of hypersingular integrals and integral equations of the first kind

In this thesis, two problems are considered: i) An automatic quadrature scheme is presented for the evaluation of hypersingular integral of the form Qi(f; x) =Z 1¡1 wi(t)f(t)(t ¡ x)2 dt; x 2 [¡1; 1]; i = 0; 1; 2; (1) where w0(x) = 1; w1(x) = p1 ¡ x2; w2(x) = 1 p1¡x2 are the weights, and the functi...

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Bibliographic Details
Main Author:	Obaiys, Suzan Jabbar
Format:	Thesis
Language:	English
Published:	2013
Subjects:	Integral equations - Numerical solutions Singular integrals - Numerical solutions
Online Access:	http://psasir.upm.edu.my/id/eprint/41452/ http://psasir.upm.edu.my/id/eprint/41452/1/IPM%202013%205R.pdf

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