Implicit Finite Difference Method for Fractional Wave Equation with Dirichlet and Fractional Boundary Conditions

DOI

10.2991/iceep-18.2018.1How to use a DOI?

Keywords

Fractional wave equation, Riemann-Liouville fractional derivative, Fractional boundary conditions, Finite difference method, Consistency and stability

Abstract

In this paper, the implicit finite difference method is developed for the fractional wave equation with Dirichlet and fractional boundary conditions. The consistency and stability of the method are strictly provedbytheGerschgorintheoremandmathematicalinduction. Numericalexamplesshowtheaccuracy and efficiency of the scheme and coincide with the theoretical analysis.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shaomei Fang
AU  - Wenjie Huang
AU  - Changping Xie
AU  - Yingshu Zhanga
AU  - Jinyan Li
AU  - Zhenfu Cai
PY  - 2018/09
DA  - 2018/09
TI  - Implicit Finite Difference Method for Fractional Wave Equation with Dirichlet and Fractional Boundary Conditions
BT  - Proceedings of the 2018 7th International Conference on Energy and Environmental Protection (ICEEP 2018)
PB  - Atlantis Press
SP  - 1
EP  - 9
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceep-18.2018.1
DO  - 10.2991/iceep-18.2018.1
ID  - Fang2018/09
ER  -