Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets
Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets
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DOI：
10.1016/j.cpc.2008.04.006
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发表时间：
2008-09
期刊：
影响因子：
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通讯作者：
V. Singh;O. P. Singh;R. Pandey
中科院分区：
文献类型：
--
作者：
V. Singh;O. P. Singh;R. Pandey
给出了求函数f(r)的n阶Hankel变换Fn(p)的一种有效算法。当连续的Legendre多小波形成L2(R)的正交基时；我们展开被积函数在其小波序列中的rf(r)部分，将汉克尔变换积分简化为一系列贝塞尔函数乘以输入函数的小波系数。数值算例说明了该方法的有效性。
An efficient algorithm for evaluating the Hankel transform Fn(p) of order n of a function f(r) is given. As the continuous Legendre multi-wavelets forms an orthonormal basis for L2(R); we expand the part rf(r) of the integrand in its wavelet series reducing the Hankel transform integral as a series of Bessel functions multiplied by the wavelet coefficients of the input function. Numerical examples are given to illustrate the efficiency of the proposed method.