Three exact solutions to the axisymmetric equations governing axially polarized cylinders are first presented. Two of them are the first terms in Bessel and Fourier series expansions of arbitrary boundary conditions on the flat and curved surfaces, respectively. The third is needed to model clamped boundaries. Then, it is shown that cylinders with arbitrary lengthto-radius ratio and certain uni...

Majority of the hodograph transform solutions of the one-dimensional nonlinear shallow-water wave equations are obtained through integral transform techniques. This approach, however, might involve evaluation of elliptic integrals, which are highly singular. Here, we couple the hodograph transform approach with the classical eigenfunction expansion method rather than integral transform techniqu...

It is proved that the maximal operator of the l1-Fejér means of a d-dimensional Fourier series is bounded from the periodic Hardy space Hp(T ) to L p(T ) for all d/(d+1) < p ≤ ∞ and, consequently, is of weak type (1, 1). As a consequence we obtain that the l1-Fejér means of a function f ∈ L1(T ) converge a.e. to f . Moreover, we prove that the l1-Fejér means are uniformly bounded on the spaces ...

Beginning with the exact Kolmogorov power spectrum for an extended random medium (such as interstellar space), the structure function is first expressed as an inverse Fourier-Bessel transform. An approximate series representation involving fractional powers of the transverse coordinate is then optimized by an equivalent Gaussian expansion up to two terms using the Rayleigh-Ritz technique. The d...

A new analysis for stress transfer from the matrix to a fragmented fiber through an imperfect interface was derived using a Bessel-Fourier series stress function with some important additional polynomial terms. The solution satisfies equilibrium and compatibility every place and satisfies most boundary conditions exactly. The only approximation is that the axial stress in the fiber at a fiber b...

We present a general method for solving the modified Helmholtz equation without shape approximation an arbitrary periodic charge distribution, whose solution is known as Yukawa potential or screened Coulomb potential. The extension of Weinert’s pseudo-charge [Weinert M, J Math Phys , 1981, 22:2433–2439] Poisson same class density distributions. inherent differences between and are in their resp...

The paper presents an application of digital filtering in data processing of acceleration records from earthquakes. Butterworth, Chebyshev, and Bessel filters with different orders are considered to eliminate the frequency noise. A dataset under investigation includes accelerograms from three stations, located in Turkey (Dinar, Izmit, Kusadasi), all working with an analogue type of seismograph ...

The paper presents an application of digital filtering in data processing of acceleration records from earthquakes. Butterworth, Chebyshev, and Bessel filters with different orders are considered to eliminate the frequency noise. A dataset under investigation includes accelerograms from three stations, located in Turkey (Dinar, Izmit, Kusadasi), all working with an analogue type of seismograph ...