Automatic Quadrature Scheme For Evaluating Singular Integral With Cauchy Kernel Using Chebyshev Polynomials

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Automatic Quadrature Scheme For Evaluating Singular Integral With Cauchy Kernel Using Chebyshev Polynomials

In this thesis, an automatic quadrature scheme is presented for evaluating the product type indefinite integral  Q(f,x,y,c)=y/x w (t) K (c;t) f (t) dt,-1 < x , y < 1,-1 < c < 1 where w ( t ) =1/ 1-t2 , k (c , t ) =1 /( t - c ) and f ( t ) is assumed to be a smooth function. In con...

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Bibliographic Details
Main Author:	Jamaludin, Nur Amalina
Format:	Thesis
Language:	English English
Published:	2010
Subjects:	Numerical integration Cauchy problem - Numerical solutions Cauchy integrals
Online Access:	http://psasir.upm.edu.my/id/eprint/12426/ http://psasir.upm.edu.my/id/eprint/12426/1/FS_2010_8A.pdf

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