A New Numerical Method for the Riesz Space Fractional Diffusion Equation

摘要：

Firstly, using matrix transform method, we transform the Riesz space fractional diffusion equation into an ordinary differential equation, and get its analytic solution. Secondly, we use (2,1) Pade approxiation to the exponentinal matrix of the analytic solution and obtain a new difference scheme for solving Riesz space fractional diffusion equation. Finally, we prove that the difference scheme is unconditionally stable.

关键词： Pade approximation fractional diffusion equation Riesz space matrix transform method

作者: Heng-fei Ding Yu-xin Zhang Wan-sheng He Xiao-ya Yang

作者单位: School of Mathematics and Statistics, Tianshui Normal University, Tianshui, P. R. China

会议类型: 国际会议

会议名称: 2011 International Conference on Advanced Material Research(ICAMR 2011)(2011年先进材料研究国际会议)

会议地点: 重庆

会议语种:英文

页码: 393-396

在线出版日期: 2011-01-21（万方平台首次上网日期，不代表论文的发表时间）