TY - JOUR
T1 - An Unconditionally Stable Difference Approximation for a Class of Nonlinear Dispersive Equations
AU - Lu , Bai-Nian
JO - Journal of Computational Mathematics
VL - 1
SP - 28
EP - 32
PY - 1991
DA - 1991/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9375.html
KW - 
AB - <p style="text-align: justify;">An unconditionally stable leapfrog 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.</p>