Abstract
The space‐time spectral collocation method was initially presented for the 1‐dimensional sine‐Gordon equation. In this article, we introduce a space‐time spectral collocation method for solving the 2‐dimensional nonlinear Riesz space fractional diffusion equations. The method is based on a Legendre‐Gauss‐Lobatto spectral collocation method for discretizing spatial and the spectral collocation method for the time nonlinear first‐order system of ordinary differential equation. Optimal priori error estimates in L2 norms for the semidiscrete formulation and the uniqueness of the approximate solution are derived. The method has spectral accuracy in both space and time, and the numerical results confirm the statement.
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.
