Abstract
In this paper, we present a Legendre Petrov–Galekin method for one-dimensional linear fourth-order differential equations. A Legendre Petrov–Galerkin and Chebyshev collocation method is developed for the nonlinear Kuramoto–Sivashinsky equation. Numerical results are presented to demonstrate the efficiency of the proposed schemes, and optimal rates of convergence in the L 2 -norm are rigorously derived.
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 callDisclaimer: 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.
