论文标题
一类非线性分数对流扩散方程的数值方法
A numerical method for a class of nonlinear fractional advection-diffusion equations
论文作者
论文摘要
在本说明中，提出了基于有限差异的数值方法来解决一类非线性对流扩散分数差分方程。这里考虑的分数操作员是分数Riemann-Liouville衍生物或订单$α$的分数Riesz衍生物。显示了该方法的一致性和无条件稳定性。最后，提出了该方法应用的示例。
In this note, a numerical method based on finite differences to solve a class of nonlinear advection-diffusion fractional differential equation is proposed. The fractional operator considered here is the fractional Riemann-Liouville derivative or the fractional Riesz derivative of order $α$. The consistency and unconditionally stability of the method are shown. Finally, an example of application of this method is presented.
