A dual integral equation method for capillary-gravity wave scattering
نویسندگان
چکیده
منابع مشابه
A Volume Integral Equation Method for the Direct/Inverse Problem in Elastic Wave Scattering Phenomena
The analysis of elastic wave propagation and scattering is an important issue in fields such as earthquake engineering, nondestructive testing, and exploration for energy resources. Since the 1980s, the boundary integral equation method has played an important role in the analysis of both forward and inverse scattering problems. For example, Colton and Kress (1998) presented a survey of a vast ...
متن کاملA Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation
In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation. The operational matrices of both basic functions are calculated and em...
متن کاملIterative Integral Equation Method for Efficient Computation of Multiple Scattering
An iterative integral equation method (IEM) is proposed for calculation of the electromagnetic (EM) scattering field from geometries with multiple reflections, such as rough surface, dihedral and trihedral. The first reflection is computed by physical optics and the coupling effects are computed by integral equations. The average size of the triangular meshes used in the proposed method is a co...
متن کاملA long wave approximation for capillary-gravity waves and the Kawahara equation
The Kawahara equation is a higher-order Korteweg-de Vries equation with an additional fifth order derivative term. It was derived by Hasimoto as a model of capillary-gravity waves in an infinitely long canal over a flat bottom in a long wave regime when the Bond number is nearly one third. In this paper, we give a mathematically rigorous justification of this modeling and show that the solution...
متن کاملThe Dual Integral Equation Method in Hydromechanical Systems
Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace’s equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems. Since the mixed boundary conditions and the f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2012
ISSN: 0897-3962
DOI: 10.1216/jie-2012-24-1-81