Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 338-353.
Published online: 2018-11
Cited by
- BibTex
- RIS
- TXT
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.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2017-0087}, url = {http://global-sci.org/intro/article_detail/nmtma/12433.html} }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.