An Unconditionally Stable Difference Approximation For A Class Of Nonlinear Dispersive Equations
Bai-nian Lu 11 Department of Mathematics, Shaanxi Normal University, Xi'an, Shaanxi, China
Received 1987-3-14 Revised Online 2006-12-8
An unconditionally stable leap-frog finite difference scheme for a class of nonlinear dispersive equations is presented and analyzed. The solvability of the difference equation which is a tridiagonal circular linear system is discussed. Moreover, the convergence and stability of the difference scheme are also investigated by a standard argument so that more difficult priori estimations are avoided. Finally, numerical examples are given.