Some useful filtering techniques for illposed problems

[摘要] Some useful filtering techniques for computing approximate solutions of illposed problems are presented. Special attention is given to the role of smoothness of the filters and the choice of time-dependent parameters used in these filtering techniques. Smooth filters and proper choice of time-dependent parameters in these filtering techniques allow numerical construction of more accurate approximate solutions of illposed problems. In order to illustrate this and the filtering techniques, a severely illposed fourth-order nonlinear wave equation is numercally solved using a three time-level finite difference scheme. Numerical examples are given showing the merits of the filtering techniques. (C) 1998 Elsevier Science B.V. All rights reserved.

[发布日期] 1998-12-21

[关键词] ill-posed Boussinesq equation;solitary wave;filtering method