Optimal wavelet based approach for numerical evaluation of Hubbell rectangular source integral by Block-pulse wavelet method

Author(s):  
K. T. Shivaram ◽  
H. V. Sharadamani ◽  
V. B. Shashank ◽  
J. Varun Darshan Naik
2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Nagma Irfan ◽  
A. H. Siddiqi

The aim of the paper is to propose an efficient and stable algorithm that is quite accurate and fast for numerical evaluation of the Fourier-Bessel transform of order ν,  ν>-1, using wavelets. The philosophy behind the proposed algorithm is to replace the part tf(t) of the integral by its wavelet decomposition obtained by using CAS wavelets thus representing Fν(p) as a Fourier-Bessel series with coefficients depending strongly on the input function tf(t). The wavelet method indicates that the approach is easy to implement and thus computationally very attractive.


Author(s):  
Nagma Irfan ◽  
A. H. Siddiqi

AbstractThis paper endeavors to formulate a stable and fast algorithm for the first time that is quite accurate and fast for numerical evaluation of the Hankel transform using wavelets which are usually difficult to solve analytically so it is required to obtain the approximate solution. So we have proposed an approach depending on separating the integrand $rf(r){J_\nu}(pr)$ into two components, the slowly varying components $rf(r)$ and the rapidly oscillating component ${J_\nu}(pr)$. Then either $rf(r)$ is expanded into wavelet series using wavelets orthonormal basis which are first derived and truncating the series at an optimal level or approximating $rf(r)$ by a quadratic over the subinterval using the Filon quadrature philosophy. A good covenant between the obtained solution and some well-known results has been obtained. The solutions obtained by proposed wavelet method indicate that the approach is easy to implement and computationally very attractive. The novelty of our method is that we give error analysis for wavelet method for the first time in literature.


1990 ◽  
Author(s):  
P. SLEZIONA ◽  
MONIKA AUWETER-KURTZ ◽  
HERBERT SCHRADE

Author(s):  
Carlos Eduardo Ribeiro Santa Cruz Mendoza ◽  
Rafael Dunaiski ◽  
Edgar Ofuchi ◽  
Henrique Stel ◽  
Rigoberto Morales

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