福州大学学报（自然科学版）2011，Vol.39Issue(4)：508-511,516,5.DOI:CNKI:35-1117/N.20110705.1512.012
分数阶扩散-波动方程数值求解
Numerical method for the fractional order diffusion-wave equation
彭文婷 1文立平2
作者信息
- 1. 福州大学管理学院,福建,福州,350108
- 2. 湘潭大学数学与计算科学学院,湖南,湘潭,411000
- 折叠
摘要
Abstract
Concerned with the numerical solving for the time fractional order diffusion - wave equation defined with the Caputo derivative. First by making use of the relation between the Caputo derivative and the Grunwald - Letnikov derivative, the time fractional derivatives can be discreted. Then the second - order space derivative in the equation is approximated by the second - order central difference - quotient. Combined with the discretization of boundary value conditions, the solution of the discretization equations are transformed into linear equations' solution. Using Matlab programming to implement the above arithmetic, and draw the surface of numerical solution in different parameters.关键词
扩散-波动方程/分数阶导数/数值解Key words
diffusion - wave equation/ fractional order derivative/ mmerical method分类
数理科学引用本文复制引用
彭文婷,文立平..分数阶扩散-波动方程数值求解[J].福州大学学报（自然科学版）,2011,39(4):508-511,516,5.
