A numerical evaluation of the hankel transform of bandlimited functions

1992 ◽  
Vol 48 (2-3) ◽  
pp. 83-100
Author(s):  
Bui Doan Khanh
Keyword(s):  
Numerical Evaluation ◽  
Hankel Transform ◽  
Bandlimited Functions

scholarly journals Stable Numerical Evaluation of Finite Hankel Transforms and Their Application

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Manoj P. Tripathi ◽  
B. P. Singh ◽  
Om P. Singh
Keyword(s):  
Stability Analysis ◽  
Heat Equation ◽  
Numerical Experiments ◽  
Numerical Evaluation ◽  
Radiation Condition ◽  
Hankel Transform ◽  
Basis Functions ◽  
Infinite Cylinder ◽  
Stable Algorithm ◽  
Hankel Transforms

A new stable algorithm, based on hat functions for numerical evaluation of Hankel transform of order ν>-1, is proposed in this paper. The hat basis functions are used as a basis to expand a part of the integrand, rf(r), appearing in the Hankel transform integral. This leads to a very simple, efficient, and stable algorithm for the numerical evaluation of Hankel transform. The novelty of our paper is that we give error and stability analysis of the algorithm and corroborate our theoretical findings by various numerical experiments. Finally, an application of the proposed algorithm is given for solving the heat equation in an infinite cylinder with a radiation condition.

Numerical evaluation of the Hankel transform: remarks

1993 ◽  
Vol 10 (9) ◽  
pp. 1872 ◽  
Author(s):  
A. Agnesi ◽  
G. C. Reali ◽  
G. Patrini ◽  
A. Tomaselli
Keyword(s):  
Numerical Evaluation ◽  
Hankel Transform

Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets

2008 ◽  
Vol 179 (6) ◽  
pp. 424-429 ◽  
Author(s):  
Vineet K. Singh ◽  
Om P. Singh ◽  
Rajesh K. Pandey
Keyword(s):  
Numerical Evaluation ◽  
Hankel Transform

Further Consideration of the Thick-Plate Problem With Axially Symmetric Loading

1962 ◽  
Vol 29 (1) ◽  
pp. 91-98 ◽  
Author(s):  
C. W. Nelson
Keyword(s):  
Approximate Method ◽  
Numerical Evaluation ◽  
Thick Plate ◽  
Hankel Transform ◽  
Integral Approach ◽  
Axially Symmetric ◽  
Transform Method ◽  
Thick Plates ◽  
Symmetric Loading ◽  
Special Case

The Fourier-Bessel integral approach was first applied to thick-plate problems of elasticity by Lamb and later by Dougall. Still later, the method, now known as the Hankel transform method, was applied to several cases of the thick-plate problem by Sneddon who, apparently, was the first to obtain numerical results for the stresses in thick plates by this method. Sneddon devised an approximate method for evaluating the integrals; i.e., inverting the transforms, which he encountered. The main contribution of the present paper consists in the more precise numerical evaluation of the integrals involved for a special case previously considered by Sneddon, but for values of parameters outside the range studied by Sneddon. In particular, it is hoped that the formulation of integration procedures presented will be found useful in other thick-plate problems.

scholarly journals About calculation of the Hankel transform using preliminary wavelet transform

2003 ◽  
Vol 2003 (6) ◽  
pp. 319-325 ◽  
Author(s):  
E. B. Postnikov
Keyword(s):  
Wavelet Transform ◽  
Numerical Evaluation ◽  
Hankel Transform ◽  
Input Function ◽  
Analytical Representation ◽  
Wavelet Coefficients ◽  
Test Function ◽  
Struve Functions

The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates the proposed algorithm.

An algorithm for the numerical evaluation of the Hankel transform

1978 ◽  
Vol 66 (2) ◽  
pp. 264-265 ◽  
Author(s):  
A.V. Oppenheim ◽  
G.V. Frisk ◽  
D.R. Martinez
Keyword(s):  
Numerical Evaluation ◽  
Hankel Transform
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