An Unconditionally Stable Difference Approximation for a Class of Nonlinear Dispersive Equations

An Unconditionally Stable Difference Approximation for a Class of Nonlinear Dispersive Equations

Year:    1991

Author:    Bai-Nian Lu

Journal of Computational Mathematics, Vol. 9 (1991), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1991-JCM-9375

Journal of Computational Mathematics, Vol. 9 (1991), Iss. 1 : pp. 28–32

Published online:    1991-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:   

Author Details

Bai-Nian Lu