Abstract:

A group of asymmetric difference schemes to approximate the fifth-order dispersive equation are given. Using the schemes, the alternating group method for solving the fifth-order dispersive equation is constructed. The scheme is unconditionally stable, and is directly used on the parallel computer. The numerical experiments show the method has near the second order ratio of convergence in space.
 

Key words: fifth-order dispersive equation; parallel computation; alternating group method; unconditionally stable