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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2347-2 |