The dual-Petrov-Galerkin method for the solitary waves with or without damped oscillatory tails in t
袁淵明教授靜宜大學數學系 下午 3:00–4:00 鴻經館 107 室Abstract
The fifth-order KdV-type equation models many physical phenomena such as
gravity-capillary waves and magneto-sound propagation in plasma.
Dual-Petrov-Galerkin approximations to the fifth-order KdV equation
is considered. The key idea of this method developed by Jie Shen is to use
the trial functions satisfying the underlying boundary conditions of the
differential equation and the test functions satisfying the dual boundary
conditions. Our theoretical analysis and numerical results indicate the
proposed dual-Petrov-Galerkin method is extremely accurate and efficient.
This is a joint work with Jie Shen and Jiahong Wu.