@Article{JCM-9-1, author = {Lu, Bai-Nian}, title = {An Unconditionally Stable Difference Approximation for a Class of Nonlinear Dispersive Equations}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {1}, pages = {28--32}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/1991-JCM-9375}, url = {https://global-sci.com/article/85975/an-unconditionally-stable-difference-approximation-for-a-class-of-nonlinear-dispersive-equations} }