نتایج جستجو برای: laplace and hankel transforms

تعداد نتایج: 16832354  

In this article using the inverse Laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. These transfers have been expressed as the Couette flow with the fractional derivative of the Caputo sense. Also, using the Hankel contour for the Bromwich's integral, the solutions are given in terms of the generalized Airy functions.

ژورنال: علوم آب و خاک 2015
ساداتی نژاد, سید جواد, عبداللهی, خدایار, عبدالهیان دهکردی, زهره, نکویی مهر, محمد, هنربخش, افشین,

Achievement to sustainable development is dependent upon integrated watershed management. In other hand without detailed analysis of the rainfall - runoff observations, high risk of flood predictions will be translated into flood-induced capital losses. Considering the fact that not always hydrometric data are available, using synthetic unit hydrograph is one of the most popular methods of floo...

Journal: :Optics letters 1999
T Alieva M J Bastiaans

The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wave front can be determined from the wave front's fractional Hankel transforms taken at the optical axis.

Journal: :Journal of Mathematical Analysis and Applications 1997

1999
V. P. Pauca B. L. Ellerbroek

We derive e cient approaches for two-parameter Hankel transforms. Such transforms arise, for example, in covariance matrix computations for performance modeling and evaluation of adaptive optics (AO) systems. Fast transforms are highly desirable since the parameter space for performance evaluation and optimization is large. They may be also applicable in real-time control algorithms for future ...

Journal: :Bulletin of the American Mathematical Society 1960

Journal: :Pacific Journal of Mathematics 1982

2000
H. K. JOHANSEN

JOHANSEN, H. K., and SORENSEN, K., 1979, Fast Hankel Transforms, Geophysical Prospecting 27, 876-901. Inspired by the linear filter method introduced by D. P. Ghosh in rg7o we have developed a general theory for numerical evaluation of integrals of the Hankel type: m g(r) = Sf(A)hJ,(Ar)dh; v > I. II Replacing the usual sine interpolating function by sinsh (x) = a . sin (xx)/sinh (UTW), where th...

Journal: :Journal of Mathematical Analysis and Applications 1969

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