@Article{NMTMA-11-338,
author = {Yubo Yang and Heping Ma},
title = {The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {2},
pages = {338--353},
abstract = {<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>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2017-0087},
url = {http://global-sci.org/intro/article_detail/nmtma/12433.html}
}