微分求积方法解时间分数阶扩散方程  

The differential quadrature method solutions for the time-fractional diffusion equation

作　　者：曹焕 张学莹[1] 刘荟[1] CAO Huan;ZHANG Xue ying;LIU Hui(School of Science, Hohai University, Nanjing 211100, China)

机构地区：[1]河海大学理学院,江苏南京211100

出　　处：《陕西科技大学学报》2017年第6期179-182,共4页Journal of Shaanxi University of Science & Technology

基　　金：教育部留学回国人员科研启动基金项目(20145003412);江苏省自然科学基金项目(BK20160853)

摘　　要：微分求积(DQ)法是一种基于径向基函数(RBFs)插值的无网格方法.本文选MultiQuadrics(MQ)函数作为径向基函数,并采用微分求积方法解决时间分数阶扩散方程。在离散过程中,采用有限差分法离散时间项,采用微分求积方法离散空间项.最后,结合数值求解的结果做出相应的误差分析.The differential quadrature method is an alternative radial basis functions(RBFs)meshless method.This article selects MQ function as the radial basis function,and applys the differential quadrature method to solve the time fractional diffusion equation.In the discretization formulation,a finite difference scheme and the DQ are used repectively to discretize time fractional derivative and spatial derivative terms.Finally we make the error analysis with the results of the numerical investigation example.

关 键 词：径向基函数 MQ函数 微分求积法 时间分数阶扩散方程 

分 类 号：O241.82[理学—计算数学]