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The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations
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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.
Global Science Press
Title: The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations
Description:
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.
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