J. Comp. Math., 9 (1991), pp. 28-32.


An Unconditionally Stable Difference Approximation For A Class Of Nonlinear Dispersive Equations

Bai-nian Lu 1

1 Department of Mathematics, Shaanxi Normal University, Xi'an, Shaanxi, China

Received 1987-3-14 Revised Online 2006-12-8
Abstract

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.

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