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2018, 23(2): 150-155.

空间分数阶扩散方程的多项式点插值配置法

福建广播电视大学三明分校, 福建 三明 365000

收稿日期:2017-08-03
修回日期:2017-10-10

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

Polynomial Point Interpolation Collocation Method for Spatial Fractional Diffusion Equation

Sanming Branch, The Open University of Fujian, Sanming 365000, China

Received Date:2017-08-03
Accepted Date:2017-10-10

Keywords: spatial fractional differential equation , polynomial , collocation method , Riemann-Liouville fractional derivative , shape function

)采用多项式基点插值配置法求解带有双侧导数的空间分数阶微分方程。首先给出利用多项式基点插值离散得到的数值逼近格式,然后给出数值算例,分别采用规则点和散点离散空间变量,均得到近似程度较好的计算结果,很好地验证了所提出数值方法的有效性。

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 approximation 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 validity of the proposed numerical method.

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空间分数阶扩散方程的多项式点插值配置法