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 - <p style="text-align: justify;">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.</p>