Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900870 | Applied Mathematics and Computation | 2018 | 12 Pages |
Abstract
We consider the initial boundary value problem of the time fractional nonlinear Sine-Gordon equation and the fractional derivative is described in Caputo sense with the order α(1â¯<â¯Î±â¯<â¯2). Two fully discrete schemes are developed based on Legendre spectral approximation in space and finite difference discretization in time for smooth solutions and non-smooth solutions, respectively. Numerical stability and convergence are analysed. Numerical experiments for both the fully discrete schemes are presented to confirm our theoretical analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zeting Liu, Shujuan Lü, Fawang Liu,