A weighted numerical algorithm for N-dimensional two-sided fractional wave equation

摘要：

A weighed numerical scheme that can effictively solve the N-dimensional fractional wave equation in a finite domain is provided. As concrete examples, we focus on detailedly discussing the two and three dimensional two-sided space fractional wave equation. A second order finite difference scheme is used to discretize the space fractional derivative and the time derivative. Additionally, the numerical results confirm that the weighted numerical algorithm is second order convergence in both space and time directions.

关键词： Fractional wave equation alternating direction implicit method Riemann-Liouville fractional derivative Weyl fractional derivative weighted numerical algorithm.

作者: Weihua Deng Minghua Chen

作者单位: School of Mathematics and Statistics, Lanzhou University, Lanzhou730000, China School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-6

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）