Analysis of two Legendre spectral approximations for the variable-coefficient fractional diffusion-wave equation

Analysis of two Legendre spectral approximations for the variable-coefficient fractional diffusion-wave equation

Abstract In this paper, we solve the variable-coefficient fractional diffusion-wave equation in a bounded domain by the Legendre spectral method. The time fractional derivative is in the Caputo sense of order γ∈(1,2) $\gamma \in (1,2)$. We propose two fully discrete schemes based on finite differenc...

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Bibliographic Details
Main Authors: Wenping Chen, Shujuan Lü, Hu Chen, Lihua Jiang
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Advances in Difference Equations
Subjects:
Fractional diffusion-wave equation
Variable-coefficient
Fully discrete Legendre spectral method
Stability
Convergence
Online Access:http://link.springer.com/article/10.1186/s13662-019-2347-2

Internet

http://link.springer.com/article/10.1186/s13662-019-2347-2

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