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Kamil Urbanowicz
An interesting series based on Bessel function roots (zeros) is discussed and numerically analyzed. The novel-derived simplified general solutions are based on Lommel polynomials. This kind of series can have a large practical use in many scientific area...
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Giampiero Lovat, Paolo Burghignoli, Rodolfo Araneo and Salvatore Celozzi
The electromagnetic interaction between a circular disk with finite conductivity and finite thickness and a coaxial circular loop of constant current is addressed here. The finite conductivity and thickness of the material disk lead to the adoption of su...
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Yuri Kuzmin and Stanislav Proshkin
Based on a rigorous solution to the problem, analytical expressions are obtained for calculating the diffraction of the electromagnetic field of a grounded cable on an elongated dielectric spheroid in a conductive layer. The field of a grounded AC cable ...
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Kevin J. Parker and Miguel A. Alonso
The free space solution to the wave equation in spherical coordinates is well known as a separable product of functions. Re-examination of these functions, particularly the sums of spherical Bessel and harmonic functions, reveals behaviors which can prod...
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Oskar Bschorr and Hans-Joachim Raida
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Ivan Cherednik
We propose a mathematical model of momentum risk-taking, which is essentially real-time risk management focused on short-term volatility. Its implementation, a fully automated momentum equity trading system, is systematically discussed in this paper. It ...
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Kirill Trapezon,Alexandr Trapezon
Pág. 12 - 18
Based on symmetry and factorization methods, a general analytical solution to the fourth-order differential equation has been derived for a problem on the free axisymmetric oscillations of a circular plate of variable thickness. The law of the thickness ...
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Sarat Chandra Mohapatra, Hafizul Islam and C. Guedes Soares
A mathematical model for the problem of wave diffraction by a floating fixed truncated vertical cylinder is formulated based on Boussinesq equations (BEs). Using Bessel functions in the velocity potentials, the mathematical problem is solved for second-o...
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Xinglong Zhou, Baichao Chen, Yao Luo and Runhang Zhu
Mutual inductance between finite-length coaxial helical filaments and tape coils are presented analytically. In this paper, a mathematical model for finite-length coaxial helical filaments is established, and subsequently, the mutual inductance of the fi...
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Mario Ibrahin Gutierrez, Antonio Ramos, Josefina Gutierrez, Arturo Vera and Lorenzo Leija
Therapeutic focused ultrasound is a technique that can be used with different intensities depending on the application. For instance, low intensities are required in nonthermal therapies, such as drug delivering, gene therapy, etc.; high intensity ultras...
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