Abstract

The Korteweg-de Vries equation is numerically solved by using the Fourier expansion method, the finite-difference methods, and other methods. By applying each method to a common initial-value problem, the accuracies of computations are compared with each other. The Fourier expansion method is found to be the most accurate and effective method. The details of the recurrence of an initial state, discussed by N. J. Zabusky and M. D. Kruskal, are examined.

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 call

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.