@Article{JCM-37-5,
author = {Yubo, Yang and Ma, Heping},
title = {A Linear Implicit L1-Legendre Galerkin Chebyshev Collocation Method for Generalized Time- and Space-Fractional Burgers Equation},
journal = {Journal of Computational Mathematics},
year = {2019},
volume = {37},
number = {5},
pages = {629--644},
abstract = {<p style="text-align: justify;">In this paper, a linear implicit L1-Legendre Galerkin Chebyshev collocation method for
the generalized time- and space-fractional Burgers equation is developed. A linear implicit
finite difference scheme based on the L1-algorithm for the Caputo fractional derivative is
proposed for temporal discretization. And the Legendre Galerkin Chebyshev collocation
method, based on the Legendre-Galerkin variational form, but the nonlinear term and
the right-hand term are treated by Chebyshev-Gauss interpolation, is proposed for spatial discretization. Rigorous stability and convergence analysis are developed. Numerical
examples are shown to demonstrate the accuracy, stability and effectiveness of the method.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1807-m2017-0197},
url = {https://global-sci.com/article/84436/a-linear-implicit-l1-legendre-galerkin-chebyshev-collocation-method-for-generalized-time-and-space-fractional-burgers-equation}
}