High-order fractional-compact finite difference method for Riesz spatial telegraph equation
Numerical Analysis
2017-05-25 v2
Abstract
In this paper, we establish even order compact numerical schemes (4th-order, 6th-order, 8th-order, 10th-order) for Riesz derivatives by using the symmetrical fractional centred difference operator. Then we apply the derived 4th-order algorithm to the Riesz spatial telegraph equation. We carefully study the stability and convergence by matrix method, and show that convergence orders in temporal and spatial directions are both 4th order. Numerical experiments are displayed which support the compact difference schemes for Riesz derivatives and the Riesz spatial telegraph equation.
Cite
@article{arxiv.1501.01350,
title = {High-order fractional-compact finite difference method for Riesz spatial telegraph equation},
author = {Hengfei Ding and Changpin Li},
journal= {arXiv preprint arXiv:1501.01350},
year = {2017}
}
Comments
30 pages, 3 figures