Solution of second kind integral equation with Cauchy type kernel using Daubechies scale function

Authors:
M. M. Panja;B. N. Mandal
Affiliations:
Department of Mathematics, Visva-Bharati, Santiniketan, West Bengal, 731 235, India;Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B T Road, Kolkata 700108, India
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

Citing 3
Cited 0

Mathematica: a system for doing mathematics by computer (2nd ed.)

Mathematica: a system for doing mathematics by computer (2nd ed.)
A Multiresolution Approach to Regularization of Singular Operators and Fast Summation

SIAM Journal on Scientific Computing
Signal and Image Approximation Using Interval Wavelet Transform

IEEE Transactions on Image Processing

Quantified Score

Hi-index	7.29

Visualization

Abstract

A method based on the Daubechies scale function has been devised to solve numerically a class of second kind integral equations with a Cauchy type kernel. The convergence associated to the method has been established. The method is illustrated with integral equations in this class whose exact solutions are known. The numerical results obtained by the present method are seen to differ negligibly from the exact results.