@Article{JCM-9-28, 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/}, url = {http://global-sci.org/intro/article_detail/jcm/9375.html} }