Abstract
Abstract The problem of approximating solutions to the Korteweg-de Vries (KdV) equation is investigated using a least squares finite element method. The third order KdV equation is recast as a first-order system and a least-squares finite element approach is introduced for the semidiscrete time-differenced form of the resulting equations. Of particular interest are the approximation properties for solitary wave solutions (solitons). We examine the amplitude and phase error for a representative test problem as well as other examples including the passage of one soliton through another.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Computer Methods in Applied Mechanics and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
