scholarly journals PARTICULAR SOLUTION OF BOUNDARY PROBLEMS FOR THE WAVE EQUATIONS USING THE APPROXIMATION METHODS.

2019 ◽  
Vol 75 (07) ◽  
pp. 184-188
Author(s):  
Elbek Ismoilov ◽  
◽  
Firuza Kasimova ◽  
Bekzod Ortikov ◽  
Ablakul Abdirashidov ◽  
...  
2019 ◽  
Vol 75 (07) ◽  
pp. 189-192
Author(s):  
Elbek Ismoilov ◽  
◽  
Firuza Kasimova ◽  
Bekzod Ortikov ◽  
Ablakul Abdirashidov ◽  
...  

2006 ◽  
Vol 21 (02) ◽  
pp. 151-158
Author(s):  
E. M. C. ABREU ◽  
C. PINHEIRO ◽  
S. A. DINIZ ◽  
F. C. KHANNA

In this letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave equations are computed such that the electric field does not induce the magnetic field and vice versa. In a gravitational field, we analyze the Maxwell equations and the corresponding electromagnetic waves. A continuity equation is presented. A commutative and noncommutative analysis of the electromagnetic duality is described.


2005 ◽  
Vol 2005 (5) ◽  
pp. 583-598 ◽  
Author(s):  
Artur Maciąg

We demonstrate a specific power series expansion technique to solve the three-dimensional homogeneous and inhomogeneous wave equations. As solving functions, so-called wave polynomials are used. The presented method is useful for a finite body of certain shape. Recurrent formulas to improve efficiency are obtained for the wave polynomials and their derivatives in a Cartesian, spherical, and cylindrical coordinate system. Formulas for a particular solution of the inhomogeneous wave equation are derived. The accuracy of the method is discussed and some typical examples are shown.


1979 ◽  
Vol 34 (6) ◽  
pp. 554-557 ◽  
Author(s):  
John W. Lounsbury ◽  
Michael P. Cook ◽  
Dianne S. Leader ◽  
Ghassan Rubeiz ◽  
Elizabeth P. Meares

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