Add to ORKGWe demonstrate a specific power series expansion technique to solve the three-dimen-sional 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. For-mulas for a particular solution of the inhomogeneous wave equation are derived. The accuracy of the method is discussed and some typical examples are shown. 1. Introduction an
Maxwell's equations for hollow metallic waveguides of arbitrary shape are solved by the power series...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
© 2015, Pleiades Publishing, Ltd. With the help of the Hamilton variational principle an infinite ch...
Description: The Fourier series expansion method is an invaluable approach to solving partial differ...
In this research, the three-dimensional elastic wave equations with variable coefficients (i.e. prop...
The power series expansion method is proposed and applied, just like the reductive perturbation meth...
The topic of thesis is the wave equation. The first chapter is introduction, the overview of the th...
In this article, the two variable (G′/G,1/G)-expansion method is suggested to investigate new and fu...
AbstractExact three-wave solutions including periodic cross-kink wave solutions, doubly periodic sol...
The power series method used by the author to generate highly accurate finite difference schemes for...
AbstractSeveral authors have constructed series solutions of the one-dimensional spatially inhomogen...
Abstract: The choice of wave equations as basic for the plasmas self-consistent potentials...
We propose a family of algorithms for solving numerically a Cauchy problem for the threedimensional ...
As a continuation of the efficient and accurate polynomial interpolation time-marching technique in ...
In this paper, He-s homotopy perturbation method (HPM) is applied to spatial one and three spatial d...
Maxwell's equations for hollow metallic waveguides of arbitrary shape are solved by the power series...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
© 2015, Pleiades Publishing, Ltd. With the help of the Hamilton variational principle an infinite ch...
Description: The Fourier series expansion method is an invaluable approach to solving partial differ...
In this research, the three-dimensional elastic wave equations with variable coefficients (i.e. prop...
The power series expansion method is proposed and applied, just like the reductive perturbation meth...
The topic of thesis is the wave equation. The first chapter is introduction, the overview of the th...
In this article, the two variable (G′/G,1/G)-expansion method is suggested to investigate new and fu...
AbstractExact three-wave solutions including periodic cross-kink wave solutions, doubly periodic sol...
The power series method used by the author to generate highly accurate finite difference schemes for...
AbstractSeveral authors have constructed series solutions of the one-dimensional spatially inhomogen...
Abstract: The choice of wave equations as basic for the plasmas self-consistent potentials...
We propose a family of algorithms for solving numerically a Cauchy problem for the threedimensional ...
As a continuation of the efficient and accurate polynomial interpolation time-marching technique in ...
In this paper, He-s homotopy perturbation method (HPM) is applied to spatial one and three spatial d...
Maxwell's equations for hollow metallic waveguides of arbitrary shape are solved by the power series...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
© 2015, Pleiades Publishing, Ltd. With the help of the Hamilton variational principle an infinite ch...