This chapter focuses on the numerical solution of the wave equation. The wave equation can be studied profitably either as a second order partial differential equation or as an equivalent system of two first order equations. The solution of the Cauchy problem can be given by means of the ...
In this paper, the combined refraction-diffraction of plane monochromatic waves by a circular cylinder mounted on a conical shoal in an otherwise open sea of constant depth is solved analytically based on the mild-slope equation. At first, Hunt's approximate direct solution for the wave dispersion...
As a result, the solution of the neutron transport equation is given by the superposition of beams possessing wave fronts. The present study has introduced the possibility of clearly explaining neutron transport behavior by beam processes, thus providing a further insight into the interpretation of ...
Define Periodic solution. Periodic solution synonyms, Periodic solution pronunciation, Periodic solution translation, English dictionary definition of Periodic solution. n maths a function, such as sin x, whose value is repeated at constant intervals Col
series solutions级数解 1.This paper studies the method of orthonormal series for solving operator equation on Hilbert space, and discusses the series solutions of the Dirichlet problem for the poisson equation by the method of orthonormalseries.研究了在Hilbert空间中求解算子方程的规范化序列方法,讨论了...
Theconvergenceof the formalseriessolutionto theinitialboundaryvalueproblemfor the non-homogeneouswaveequationisconsidered. 考虑非齐次波动方程初边值问题的形式级数解的收敛性问题。 www.dictall.com 3. Dissipativenonlinearwaveequation;Approximatesymmetry;Symmetryreduction;Seriessolution. ...
Analytic wave series solution of out-of-plane (SH) waves diffraction by an almost semi-circular shallow cylindrical hill A closed-form wave equation analytic solution of two-dimensional scattering and diffraction of outof-plane(SH) waves by an almost semi-circular shallow cyl... C Ji,V Lee ...
Solitary wave solutions and cnoidal wave solutions are obtained. The cnoidal wave solutions are shown to be representable as infinite sums of solitons by using Fourier series expansions and Poisson's summation formula.关键词: Korteweg-de Vries equation Kadomtsev-Petviashvili equation solitary wave ...
order; secondly, by the introduction of a new parameter ω (related to the particle velocity at the wave crest) whose range is exactly known; and thirdly by the discovery that the series for the mass M and potential energy V in powers of ω can be accurately summed by Padé approximants...
The existence results are obtained by constructing approximate solutions to the equation by the Galerkin Method, and then passing to the limit, as in the linear case. As we have already said, for passing to the limit we need, in the nonlinear case, some strong convergence properties of the ...