Abstract:

 A group of asymmetric difference schemes to approach the fifth-order dispersive KdV equation are given. Using the schemes and the full explicit difference scheme and the full implicit difference scheme, the alternating difference scheme for solving the fifthorder dispersive KdV equation is constructed. The scheme is linear unconditionally stable by analysis of linearization procedure, and is used directly on the parallel computer. Numerical experiments show that the method has high accuracy.
 

Key words: the fifth-order dispersive KdV equation; parallel computation; alternating segment explicitimplicit scheme; linear unconditionally stable