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Filtering by: Subject Nonlinear wave equations Decade 1980-1989

An analysis of accuracy of finite difference and finite element methods for the wave equation

Creator:

Minei, Marvin

Abstract:

In this paper, Fourier analysis is used to investigate various approximation methods for the one- and two-dimensional wave equations. The spatial derivatives are approximated by the second order centered finite difference method, the linear and quadratic finite element methods, and the fourth order centered finite difference method. The approximation schemes...

Resource Type:

Masters Thesis

Full Text:

element methods for the wave equation AN ABSTRACT OF THE THESIS OF Marvin Minei for the degree of
The nonlinear wavemaker problem

Creator:

Owen, Amy M.

Abstract:

The two dimensional wavemaker problem on a finite domain is derived for nonlinear waves. A numerical method based on the method of lines is developed and applied to two test problems, the nonlinear surface pressure distribution problem and the nonlinear full-flap wavemaker problem. The solutions yield information about the fluid...

Resource Type:

Masters Thesis

Full Text:

differential equation (ODE) and the solution of a nonlinear 2x2 system of simultaneous equations. Both have a
Irregular points in wavemaker boundary value problem

Creator:

Tanaka, Yoshihiro

Abstract:

A global solution is presented that accurately accounts for the singular behavior at all irregular points. The linearized boundary value problem in a semi-infinite strip in the physical plane is transformed into a smooth unit disk by two successive conformal mappings. The global solution results from a Fredholm integral equation...

Resource Type:

Dissertation

Full Text:

behavior of solutions obtained from a Fredholm integral equation to the weakly nonlinear diffraction of