集美大学学报(自然科学版)2018,Vol.23Issue(2):150-155,6.
空间分数阶扩散方程的多项式点插值配置法
Polynomial Point Interpolation Collocation Method for Spatial Fractional Diffusion Equation
危国华1
作者信息
- 1. 福建广播电视大学三明分校,福建 三明365000
- 折叠
摘要
Abstract
In this paper, we make the first attempt to apply polynomial point interpolation collocation method for solving spatial fractional differential equation with two-side derivative. Firstly, numerical approxi-mation scheme was obtained by polynomial point interpolation. Then numerical examples, discretizing space variable with both regular nodes and irregular nodes, had good approximation results, which testified the va-lidity of the proposed numerical method.关键词
空间分数阶微分方程/多项式基/配置法/Riemann-Liouville分数阶导数/形函数Key words
spatial fractional differential equation/polynomial/collocation method/Riemann-Liouville fractional derivative/shape function分类
数理科学引用本文复制引用
危国华..空间分数阶扩散方程的多项式点插值配置法[J].集美大学学报(自然科学版),2018,23(2):150-155,6.