TY - JOUR T1 - The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 338 EP - 353 PY - 2018 DA - 2018/11 SN - 11 DO - http://doi.org/10.4208/nmtma.OA-2017-0087 UR - https://global-sci.org/intro/article_detail/nmtma/12433.html KW - AB -

In this paper, a Legendre Galerkin Chebyshev collocation method for the Burgers-like equations with fractional nonlinear term and diffusion term is developed. This method is based on the Legendre-Galerkin variational form, but the nonlinear term and the right-hand term are treated by Chebyshev-Gauss interpolation. Rigorous stability and convergence analysis are developed. Numerical examples are shown to demonstrate the accuracy, stability and effectiveness of this method.