Some useful filtering techniques for illposed problems Academic Article

abstract

• 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. 1998 Elsevier Science B.V. All rights reserved.

authors

• Daripa, Prabir

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

• Daripa, P.

citation count

• 13

complete list of authors

• Daripa, P

publication date

• December 1998

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• Filtering Method
• Ill-posed Boussinesq Equation
• Solitary Wave

Digital Object Identifier (DOI)

• 10.1016/S0377-0427(98)00186-1

start page

• 161

end page

• 171

volume

• 100

issue

• 2

URL

• http://dx.doi.org/10.1016/s0377-0427(98)00186-1