A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation

Minghua Chen; Weihua Deng

A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation

Numerical Analysis 2017-01-31 v1

Authors: Minghua Chen , Weihua Deng

Abstract

This paper focuses on providing the high order algorithms for the space-time tempered fractional diffusion-wave equation. The designed schemes are unconditionally stable and have the global truncation error $\mathcal{O}(\tau^2+h^2)$ , being theoretically proved and numerically verified.

Keywords

fractional diffusion equations finite difference schemes advection-diffusion equations

Cite

@article{arxiv.1610.02661,
  title  = {A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation},
  author = {Minghua Chen and Weihua Deng},
  journal= {arXiv preprint arXiv:1610.02661},
  year   = {2017}
}

Comments

7 pages

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