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Volume 9, Issue 1
An Unconditionally Stable Difference Approximation for a Class of Nonlinear Dispersive Equations

Bai-Nian Lu

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

Published online: 1991-09

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  • 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.

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@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} }
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 -

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.

Lu , Bai-Nian. (1991). An Unconditionally Stable Difference Approximation for a Class of Nonlinear Dispersive Equations. Journal of Computational Mathematics. 9 (1). 28-32. doi:
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